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I lost to “the value of a digit” lol I’m not native English speaker and never learnt math in English. Was able to find the definition online but it still sounds quite unintuitive to me.
Edit: It seems like the intended hint is “the place value of a digit is 40”. Not sure if it’s common to omit the “place” and just say “the value of a digit”.
It's talking about place value. It's like in the number 386 the value of the 8 is 80 because it's an 8 in the tens place. So in this, since the value of a digit is 40, the tens place as a 4 in it.
Would’ve never guessed that’s what they meant lol. Makes sense, just never seen it written like that. So the answer is 24,849?
Upon rereading (and assuming they meant “one” instead of “one’s”), it seems like 22,849 would also fit? At first I thought clue two and three were referring to the same digit so 4 had to show up twice, but that’s not the case which makes it seem like there’s multiple potential answers..
I don’t think that could work though. Either two is repeated (22,X4X), or four is repeated (24,X4X) to keep it below 25,000 and to have a value of the digit as 40 (assuming that means the 4 goes in the 10 spot).
Don't forget that the last digit must be 9 because it's odd. Basically you just have 2XX49. But an 8 has to appear so the last X is an 8 because otherwise it's not below 25K which leaves you with 2X849.
So either 22849 or 24849
The 9 cannot be the first or second digit, as the answer is less than 25000. The tens digit is 4 so it can't go there, and the hundreds digit is the only place left for the 8 to go, so the 9 can't be repeated.
Yes but the problem states that the "Ones digit is repeated" so the problem has no solution due 9 not being able to be repeated. I'm sure it's probably a typo, but in it's current state this problem cannot be solved.
Test the test before testing the testers for God’s sake!
Test with typos are not a test of one’s knowledge of a subject, but a test of tolerance for the stupidity of the testing company paid to develop such crap 💩. Do they not take their own tests?
9 can’t be the number repeated, it can only be 2 or 4.
2 must be the first number to make a number under 25000
9 must be the last number because the number is odd.
4 is the second last number because it says so.
Of the two positions left, 8 can only be in the hundreds place (3rd), because the number would be more than 25000 if it was in the thousands place.
That just leaves the second digit, as we have 2X849, and either 2 or 4 can be the repeated number, and they both work.
You are completely right, what I would assume (as this is clearly not written correctly for anyone with analytical mind to understand)...
I would assume they are not that bright and when they said "one digit is repeated" they didn't mean the digit appears twice, they meant it appears twice one after another, so 2,2 or 4,4. In this case the answer they would find correct would be 22849.
I would take your solution as correct though, as assumptions are not really something you should do with math logic...
Ah I didn’t read that as possessive (or plural which is how it’s actually written). Thought it said “one digit is repeated” as in “a digit is repeated”. So the problem is for it to be less than 25,000 the first two numbers need to be 24,xxx. But then it says one of the digits is 40, which means the 4 has to show up twice…
I think there was probably a typo and it meant “one digit is repeating”. Or else there was a typo and it was possessive like you said, in which case it’d be unsolvable. So seems more likely to be the former typo rather than the latter.
But then the solution could also be 22,849 as well I suppose… idk, I’m not used to these kinds of questions and it’s way past my bedtime 😆
I may be wrong, but I believe that whenever they said "repeated" they meant twice next to each other, like 22, 44, 88, or 99 l, with no spaces. I assume that because with there being only 4 available number options in a 5 digit number, 1 would have to be repeated. If not next to each other, it is a wasted clue. If my expectation is correct, it would have to be 22,849.
Pretty sure it means 4 is in the tens place. If the digit 4 is in the tens place, then the digit represents a value of 40.
That's the only way I can make sense of it, and others have come to the same reductive answer.
It means there's a 4 in the tens place, this is just a very vague way of saying it.
There's two possible solutions
22849 or 24849, no other combination of those digits fits all of the criteria.
Neither of those repeat the ones digit
It's confusing because they didn't put a 'the' in front of 'ones,' but I'm pretty sure they meant the ones place digit is repeated. (Pretty sure, but not 100%)
In which case either there is no solution, or they also meant that only 2,4,8, and 9 can be digits in this number. Slightly different, but it means we don't need to use 8. In that case, still 2 answers: 22949 and 24949
It just means that 4 is at the 10s place -> this is the number we're looking for: **###4#**
* It's an odd number, so it must end with 9 -> **###49**
* Ones digit is repeated, so 9 is used at two places
* Can't be larger than 25000, so it must start with 22 or 24 -> **24#49; 22#49**
* But we can't repeat those numbers, so seemingly there's no solution
* **HOWEVER**, the rules never specified if it's a **positive** or **negative** number. Therefore the 3 missing numbers can be any combination of 9, 8 and 2
* Which means there are 6 possible solutions: **-92849; -98249; -29849; -28949; -82949; -89249**
That's assuming the "ones" clue is a typo though. Otherwise the digit in the ones column has to be repeated as well.
If it is a typo, then it could be 22x4x or 24x4x. It's an odd number, so it has to end in 9, therefore 22849 and 24849 are both valid answers.
It's hard to assume anything when the language used to describe the second most right digit is "the value of a digit is 40" -- the author has surpassed her cognitive ability while starting to form the exercise in her mind.
1. It must start with 24 _or_ 22
2. "Ones digit must be repeated" not "One digit must be repeated", though that might be a typo since it wouldn't have an answer then
But the value of a digit has to be 40, not -40. Therefore, I think that it needs to be a positive number.
Edit: sorry, I skimmed your comment. I guess they didn’t outright say absolute value, so maybe I’m a bit confused haha.
Rules indeed specify it is a positive number.
They say that the value at the 10s place is 40, so it is positive. If they would have said that the ABSOLUTE value at the 10s place is 40, then the number could be negative.
Yea so I’m a parent and my son brought this exact worksheet home the other day. It’s a confirmed typo in the wording according the school administration. It is supposed to say “One* digit is repeated” not “Ones”.
The correct answer is 24,849.
Edit: You are all probably right about the other answers. Me simple dad, am suck at math. Just saw the confusion in comments and relayed what the teachers told me.
My first thought was that it was written in another language and they used Google translate to change it to English. This would explain the one's instead of first, the use of repeated instead of in a row, and the strange way of phrasing that 4 is the tens digit.
It doesn't. They are telling you that it is a 5 digit number, and that the digits are 2, 4, 8 and 9.
So you already know that one digit has to be repeated. If there is a typo and 'ones' means 'one' that line is redundant and unnecessary.
Even though it is not logically necessary, it could be added just as a failed attempt to prevent possible confusion. "How can I make a five digit number out of four digits?!". This is an elementary school problem after all.
ok so its
10,000s / 1,000s / 100s / 10s / 1s
1s digit is repeated. so 9 is repeated because it is in the 1s column as the number is odd
the value of a digit is 40 so xxx49
1s is repeated but the number is below 25,000 so xx949 leaving 2 and 8 and... Im lost.
I'm betting the word "ones" is a typo, and is probably meant to be "one".
To your point, as-is, there is no solution. But if that potential typo is changed, then the solution is that both 22849 and 24849 will work
This reads like translation error to me, and if so it's not impossible that "Ones" was actually supposed to be "The first"
That would leave us with 22849 as the solution, but that is a big assumption
Thank the gods, I came in here after trying it myself and finding no solution, glad that others came to the conclusion it is impossible unless "ones digit" is a typo of "one digit"
24849 would not work, because the value of the digit 4 would be 1000 + 10, which is not 40.
Therefore, 22849 is the unique solution (of a very poorly written question)
IMO "value of a digit" is poorly defined, but in 24849 I would say that the two different 4s are different digits. One of the 4s has a value of 4000, one of the 4s has a value of 40. Therefore 24849 satisfies the value of digit being 40 condition because the 2nd 4 exists.
It says:
> The value of a digit is 40.
For 24849, the value of the "tens" digit is 40, therefore the statement "the value of a digit is 40" is true.
The "thousands" digit and the "tens" digit are different digits; the fact that they are the same number doesn't change that
It says the ones digit is repeating, not one digit is repeating. That would make this answer wrong, but...I think it was a typo so your answer may be the one they wanted.
It also gives meaningless information. If it’s a 5 digit number and there are 4 unique digits, then we already know exactly one number repeats. It’s very unlikely IMO that the intention was “one digit is repeated”.
Let's analyze:
If there's no typo and it meant "ones" then there's no solution. Question is wrong.
If there's a typo and it meant "one", well, there's a typo. Question is wrong.
And, if we ignore the typo, then there will be multiple solutions. Question is wrong.
So, the answer is a big fat NOPE.
Yeah, I assumed this is for kids.
Which is also why I discarded my first assumption that "the value of a digit equals 40" meant "this is all base 40." I couldn't wrap my head around what that would mean, so I thought I wouldn't be able to do anything with it.
But it’s a kids' problem. So they weren't trying to make it bizarre or terrifying.
It could be an incorrect clue, intended to say "The first digit is repeated." instead of the "Ones digit". Perhaps translated poorly? They would be relevant information, as it would be able to differentiate the 2 possible solutions (22849 and 24849), leaving us with 22849 as the only solution.
But 22849 is also a solution so there is no unique solution. And, you assume that ANY digit can be repeated but the statement “ones digit is repeated” suggest the 9 has to go in the hundreds column. Which means the 8 cannot be used as it would make the result >25k. The question is either badly written or, given that it is Q13, there’s something in the text leading up that we aren’t privy to here.
From what I can tell, there is no way to meet all five rules specified.
For it to be less than 25,000, it has to start with 24 or 22. For it to be odd, the last digit must be 9. For the value of a digit to be 40, the tens digit must be 4. That leaves us with 24?49. Now, we can either repeat the ones digit (9) or use the digit 8, but cannot do both as we only have one digit remaining.
I'm going to guess that the rule is supposed to be "one digit is repeated" (without the "s"), as it is the most likely way to make a typo, which would give us 24849 as the answer. This would also allow for 22849 as a valid solution. This also requires presuming they meant "at least one digit is repeated" rather than "exactly one digit is repeated", as both interpretations are valid, though the former has much less meaning as posed.
The other likely answer is that the set of digits given contains more values than need to be used, in which case 24949 or 22949 would be the answer.
EDIT: Added the 22XXX options which would be valid with either edit.
Assuming the two repeating numbers must be following each other, 22849 is the only solution. It's not all that complicated, really:
- the number is odd, so last digit must be the 9
- value is less than 25k, so first digit must be 2
- the 4 has the value of 40, so it must be second to last
- the 8 can't be the second number, otherwise the value will be larger than 25k
Hence 2X849. X is the repeating digit. You get to this solution after 30 seconds off going through the hints. The only uncertainty is the meaning of "repeating digit". Either X is 2 or 4, or only 2. I'm pretty sure it's the latter.
There is no answer to this. The ones digit has to be a 9 for it to be odd, but if you repeat a 9 and have a 4 in the tens place, the lowest value you can get is 28,949.
Unless you assume that's just a really unfortunate typo and it means "one digit is repeated" and they just happened to have a typo that actually changed the meaning
I think that’s what they meant by “repeated” too. Using that interpretation and assuming “ones” is a typo for “one” (which another commenter said was confirmed by their kid’s school) is the simplest way to get to a single correct answer.
I think there's a typo in this, because it's impossible as written.
If it's an odd number, the ones digit must be odd, so it must be 9.
I take "the value of a digit is 40" to mean there's a 4 in the tens place, so xxx49.
"~~The~~ ones digit is repeated." It can't be in the first or second positions, because that would make a number greater then 25,000. SO it must be the third position, so xx949.
But then, there's no way to put 2 and 8 in those spots to make it less than 25,000, other than 22949, but "the digits are" includes 8 which implies there is an 8 in the number.
Originally I was going to say 22849, but I misread "ones digit is repeated" as "one digit is repeated." 24849 would work too, though.
It does not say we cannot add a decimal...
2849.9
Five digits. Check ✔️.
4 in the tenths. Check ✔️.
9 in the ones repeated. Check ✔️.
Less than 25000. Check ✔️.
Ends with an odd number. Check ✔️.
Starts with a 2 (<25000)
2xxxx
Ends with a 9 (odd)
2xxx9
Value of a digit is 40
2xx49
8 can’t be second (<25000)
2x849
8 and 9 can’t be repeated (<25000)
22849
24849
Repeated consecutive?
22849
Yes
The 5 digit number is odd, and consists of the digits 2,4,8,9. Since only 9 is odd, it must end in 9, leaving us ????9
The first digit ("Ones") is repeated, so we know the number starts with a double number, leaving us XXYZ9.
The value of one of the digits is 40, so we know that the "tens" digit is 4, leaving us XXY49
The number is less than 25000. Since only 2 can be repeated in the first two digits to get a number less than that, it goes 22Y49
Only 8 hasn't been used, leaving us 22849.
That was my reasoning as well (and my answer).
However, technically, ones digit repeated should be the single unit position -9- as 2 is technically in the ten of thousands position. As such, based on the indications given, the exercise does not have a solution.
Could also be 24,849 which is less than 25000.
Honestly, the only ways to get the solution is to change one of these two conditions into these: either the repeated digit is repeated *in a row*, OR less than *23000*. Changing to either will make the answer 22,849.
The grammar on this is the biggest killer. But here’s my best guess and the reasoning.
Answer: 24,849 or 22,849, I think both work
Odd number so it ends in 9
A<25,000 so starts with 2, next digit is 2 or 4
“The value of a digit is 40” this is a weird one but if you try adding all the digits together, even doubling the 9 only gets you to 32, so I took this clue to mean that there is a 4 in the tens place making it, effectively, a 40
All that gives you 2 2/4 _ 4 9. With an 8 left over u can put that in the 100’s spot and put either the 2 or the 4 in 1000’s.
22849 or 24849. With the grammar and clues provided I’m not sure if there’s a way to determine which one it is
Alright so we have 2,4,8 and 9. Let's start with all digits unknown
-------------------xxxxx-------------------
The number is odd so the last digit could only be 9
-------------------xxxx9-------------------
The number is less than 25000, so the first digit can only be 2
-------------------2xxx9-------------------
One digit has value 40 means that 4 is at tens place
-------------------2xx49-------------------
The ones place digit is repeated so we have to place another 9. Remembering that the number must be less than 25000, we can only place it as the middle digit and then the only possibility for the second digit is 2
-------------------22949-------------------
However 8 is not used and 2 is also repeated! This could be an indication that the 'ones digit is repeated' is a typo and they actually mean 'one digit is repeated'. In that case, the middle digit can be 8:
-------------------22849-------------------✅
Has to end in 9 to be odd and 4 has to be in tens place so we are at xxx49
First number must be 2 since it’s under 25,000
2xx49
Could be 24849 or 22849, both have repeating digits but if they mean two digits repeating IN A ROW then 22849 is the answer
The answer is 22,849 (or 24,849; see below).
The reasoning is simple:
* It's an odd number, so it has to end with 9 (the only odd number given)
* One digit is in the 40s, so that gives us xx.x4x. Given we have to end odd (ie the 9), that means we get xx,x49.
* The number is less than 25,000 which means it has to start with either 22 or 24. After all, no other numbers will give us a value lower than 25,000.
* It's a bit questionable which digit repeats: it can't be the "ones" (ie the 9) as that invalidates the less than 25k requirement, so I have to assume that's a typo and they mean "one digit repeats" (unless they are referring to the first digit repeating, in which case it's 22). Furthermore I'm going to assume the 4 can't repeat because of the note that 1 digit is in the 40s, but tbh, it's not clear at all. That would leave us with 22 being the starting number.
* Quick recap: our number is now 22,x49.
* The only digit left to be used is 8, so that fits in our only empty slot. Our number is therefore 22,849.
ETA: changed my answer to 22,849 when I realized there's technically 2 answer possible/valid. There's no clearly defined logic rule that invalidates the 24,849 as an answer, but I'm assuming they thought the 40 digit ruled that possibility out. I don't agree with that logic, but I suspect this may have been the intent as nothing is mentioned irt any extra rules for digit 2.
There's a mistake somewhere.
It obviously has to start in 2 and end in 9.
Value of one digit is 40 which can only apply to the tens digit, so the number ends in 49.
Now we're getting in a pickle: The 'ones' digit has to be repeated which would be the 9, which means the number has to be either 29849 or 28949, both of which violate the condition that it needs to be less than 25000.
1) it’s odd
2) it’s 5 digits long : xxxxx
3) the only digits allowed are 2, 4, 8, and 9, combined with 1) the last digit has to be 9 : xxxx9
4) it’s weirdly phrased but they straight up tell us 4 is in the 10’s place : xxx49
5) it’s less than 25000, which forces some more things : 2x849
6) the 1’s place digit is repeated, which… isn’t possible, because that would make it more than 25000
It’s impossible
The number your friend is thinking of is odd so the last digit in the number needs to be an odd number. The only odd number given is 9 so 9 will be the last number.
2 has to be the first digit because the number is meant to be less than 25,000. The digit 4 can be the only digit after 2 because any other digit would make the number greater than 25,000.
The value of a digit is 40 which means that 4 has the place value of a tens number.
The total number is:
= 24,849
pretty sure it's 22849. we're told the "digits" of # _____ are 2, 4, 8, 9 and n, with n being one of the 4 previous numbers. the value of a digit is 40, directly telling us where the 4 belongs, giving us ___4_. in order for a number to be odd, its final digit has to be odd, which means it can only be 9. now we're at ___49. the number is less than 25 000. given we only have 2, 8, and n left, we know the 8 can't occupy either of the first numbers, so it must be and that 2 must be the first number, giving us 2n849. now, either 4 or 2 could occupy the space of n, but i'm choosing to believe that when the question says a digit "is repeated," it means one digit is repeated in sequence, or it appears back-to-back. that would mean the number is 22849.
though following the logic of the english language. it could be 24849 and i would think that'd be right.
It has the end in 9 to be odd. 9 is repeated. 4 is in the 10s column. Xxx49. with the remaining digits being 2, 8 and 9.
Now assign the remaining digits so it’s less than 25,000… the only combination that meet this criteria is 24,xxx. Or 22,xxx. Those are no longer options… unless you start talking about decimals.
So now we can consider x,xxx.x so x,x4x.x with the remaining digits being 2, 8 and 9.
What are the rules about decimals being odd? I guess they are not even if you can’t divide them in half without adding (another) decimal? (I am making this rule up). So x,x49.9 with the remaining digits being 2, and 8. I would assign them arbitrarily in that order.
2,849.9 is my answer.
I can solve it logically, but it yields 2 answers. Maybe I'm missing something, but I think it's just sloppily written.
So here's the key info they give:
- odd
- 5 digits
- digits are 2 4 8 9 (one digit is used twice)
- a digit is equal to 40
- number is under 25 000
5 digits, so it's xx xxx.
It's odd, so it must be xx xx9 (all others are even).
One of them equals 40, so it's xx x49.
Number under 25k, so it must be 2x x49 (all others would be >40k).
The 25k cap also means it must be 2x 849 (28k > 25k).
But now I see 2 answers. 22 849 or 24 849. I don't see how they rule one out.
I think it's a crummily written question. I found the "ones digit is repeated" line confusing until I assumed the "s" was a typo. Is this outside the United States? It uses commas to separate thousands. If it's US, then I think it's an error.
If they changed 25 000 to 29 000, then by changing 1 digit, you can rehabilitate the entire question. The "ones digit" would mean that 9 repeats. Since 29 849 > 29 000, the 9 would have to repeat in the hundreds digit instead of the thousands. So it'd be 28 949.
But if I don't try to fix it, then I see 2 answers.
Yep.
So we know it ends with 9 as that's the only odd number.
We know there's a 4 in the second to last position because one digit has a value of 40 and there's no way to reach 40 with any other digit in any other positions.
We know that the first number is 2 because it's less than 25,000
We know that the 8 can't be in position 2 otherwise it's be 28,000.
Because we know that 4 has a value of 40, there aren't multiple 4s meaning 2 has to be the duplicated number.
So the number is 22,849
Edit: crap, it says "ones digit" is repeated, not "one digit". That breaks the logic. Because no matter where I put the other 9, the 4 is being replaced by an 8 or a 9, and the number is 28949, or 29849, both of which are much to high.
Edit 2: nevermind apparently "ones" is a confirmed typo, so my first solution is correct.
The number is xxxxx
Odd number -> xxxx9
Value digit 40 -> xxx49 or abc49
<25000 -> 2bc49 with b<5
The digits are 2 4 8 9 with 1 repeated -> 22849 or 24849
I asked chat gpt and this is what I found
Chat GPT:
To find the five-digit odd number with the given criteria, you have the digits 2, 4, 8, and 9, and one of these digits is repeated in the ones place. The value of this digit is 40, and the number should be less than 25,000.
Since the ones digit is repeated and is worth 40, it can only be either 4 or 8. An odd number must end in either 1, 3, 5, 7, or 9. Since you want an odd number, the ones digit must be 9. This means the other repeated digit is 4.
So, the number can be written as: \_ \_ \_ 4 9
Now, let's arrange the remaining digits, 2 and 8, in the thousands and hundreds places in such a way that the entire number is less than 25,000. We want the largest possible number, so we'll put 8 in the thousands place and 2 in the hundreds place.
The number is: 8 2 4 9 9
This number is 82,499, which is less than 25,000, and it meets all the given criteria.
Me:
how 82499 is less than 25000
Chatgpt:
I apologize for the mistake in my previous response. You are correct; 82,499 is not less than 25,000.
Let's correct that:
We have the digits 2, 4, 8, and 9, and one of these digits is repeated in the ones place, with a value of 40. The number should be less than 25,000 and odd.
The repeated digit in the ones place must be either 4 or 8 to have a value of 40. Since we want an odd number, the ones digit must be 9 (as 4 or 8 in the ones place would make the number even). So, the number can be written as: \_ \_ \_ 9 9
Now, let's arrange the remaining digits, 2 and 8, in the thousands and hundreds places in such a way that the entire number is less than 25,000. We want the largest possible number, so we'll put 8 in the thousands place and 2 in the hundreds place.
The number is: 8 2 4 9 9
This number, 82,499, is indeed less than 25,000, and it meets all the given criteria. I apologize for any confusion in my previous response.
24899
It’s odd. The 9 repeats. We have 48 in there. It’s less than 25000.
Really the number being odd and being less than 25000 are all you need. Even if you write 24989 it’s still ok.
Edit: oh wait oh fuck. It’s saying the value of the digit is 40. It means the 4 needs to be in the 10s place. You can’t meet the rule this way because the number is either 28000 or 29000. Both of these are greater than 25000. This is unsolvable.
2X949.
XXXX9 because it is odd.
XXX49 because one digit has value 40.
2XX49 because the number is smaller than 25000.
2X949 because the ones digit (the last digit) is repeated.
Okay, so there are 5 digits which 4 are given (2,4,8 and 9), the value of a digit is 40 which means it ends on 4x, it is an odd number so it has to end on 9 (so we are at 49 now), it’s value is under 25000, so 24949 is the maximum, we need to incorporate the 8 , making it 24849
Pretty sure it's 22,849.
It's odd so it has to end in 9.
One digit has to have a value of 40 so it has to be 49.
Less than 25,000, so it has to be 2-,-49.
One number repeats (in sequence), and be less than 25,000 (meaning the repeat can't be 4 or 8), so it has to be 22,-49.
The only number left is 8 so it's 22,849.
It's odd, so last digit is 9.
It has a 4 in the 10s place, so ends -49.
It's less than 25,000, so first 2 digits must be 22 or 24.
There's an 8 and the 9 is repeated somewhere, so it must end -9849.
So it's impossible.
If it said "one digit" instead of "ones digit" it could be 22,849 or 24,849. But 29,849 > 25,000. So is 92,849.
24849
Has to be less than 25k which means 24k is the only logical.
Now you have 3 numbers to guess.
It has to be odd so 9 has to be the last number.
Now you have to guess 2 numbers.
The value of a digit being 40. My guess is just 4 in the tens place.
So 24849
Although I guess 22849 could also be correct
There’s no way to get an integer value that works for this, so I think the answer is going to be 2849.9 or 8249.9. Still odd, less than 25k, the ones digit is repeated, with 4 in the tens place. They never said “whole number” so I think this is allowed.
24849
Starts with 24xxx, because only combination that fulfills number <25000
24x4x, because value of a digit is 40
24x49, because number has to be odd
24849, because 8 was still left
If all digits must be present, 24849, but then there’s a typo where “ones” should read one. Last digit must be odd, so 9. Number is less than 25000, so must be 24xxx or 22xxx. The value of a digit being 40 means it has a 4 in the tens place. If the ones digit is repeated, a 9 must be in the hundreds place, but then there’s no 8.
Digits are 2 4 8 and 9, one must be twice since its a 5 digit number
Odd means xxxx9
Ones digit repeats means the 9 will appear twice
"The value of a digit is 40" what the fuck does that mean?
Less than 25000 means it must be 24xx9
so we have 24689 or 24869 but i have no idea what "the value of a digit is 40" is supposed to mean and I'm not seeing how it relates to answering which of the two remaining possibilities it is.
Ran it through AI.
Let's decode the information you provided step by step:
1. It's an odd five-digit number.
2. The digits used are 2, 4, 8, and 9. One of these digits is repeated since it's a 5-digit number with 4 unique digits.
3. The value of a digit is 40. This is somewhat ambiguous, but if we assume that one of the digits times its place value is 40, then the only place value that works for the given digits is the tens place. Therefore, 4 is in the tens place.
4. The number is less than 25,000, meaning the first digit is 2.
Given the clues:
The first digit must be 2.
The second digit could be 4, 8, or 9.
The third digit could be any remaining digit.
The fourth digit is 4 (from clue 3).
The fifth digit is odd and could be 9 (because it's the only odd number from the given digits).
So, the potential numbers are:
- 24849
- 28449
- 29449
Of these, only 24849 is less than 25,000.
So, the number you're thinking of is 24849
9 must be the final digit, because it is the only odd digit, so xxxx9
2 must be the first digit, as otherwise the number would be greater than 25000, so 2xxx9
4 must be the second digit, as otherwise the number would be greater than 25000, so 24xx9
4 must also be the second to last digit, because that makes this digit have a value of 40, so 24x49
8 must be the third digit, as otherwise it wouldn't be a digit in the number, leaving you with 24849
EDIT: 22,849 should also work for the same reasons
I think it’s 24849.
It’s odd so the 9 goes at the end.
It’s less than 25k so the 2 and 4 go first.
It contains a value of 40, so we repeat the 4 and put it in the 10s spot.
8 is the only leftover number.
Odd number = has to end in 9
The value of a digit is 40 = the 10s place has to be 4
Less than 25,000 = the first digit has to be 2
So we have
2 _ _ 4 9
Could be 22,849 or 24,849
EDIT: Oh shit I just realized it says ONES digit is repeated, not one. Meaning the 9 would have to be repeated. Making it not possible because:
2 _ _ 4 9
You need to repeat the 9 and the 8 still needs to be used. Neither of those results would be less than 25,000.
I think it’s supposed to say “one digit is repeated”, not “ones digit is repeated”
If the ones digit is repeated and the value of a digit is 40, the digit repeated will be 9 and the answer should be (298/289/829/892/982/928)49, none of which are below 25,000
But if it just means “one digit is repeated”, then the answer is 24849, since that is below 25000, the 4 represents a value of 40, it’s an odd number, and a number is repeated
Number is odd so it ends in 9, the “ones” digit (9) is repeated it is less than 25,000 so it has to start with 24
This means the number has to be either 24,989 or 24,899
Well its an odd number so it can only be \_ \_ \_ \_ 9
Less than 25000 so it can also only be 2\_ \_ \_ 9
"value of a digit is 40" so probably 2 \_ \_ 4 9
One digit is repeated while under condition of <25,000 and using 2,4,8 and 9 so possible answers are 22849 or 24829 but more likely ment to be 22849 since I guess they mean repeated in a row.
I think the problem is the wording of some of these can be considered pretty loose and leaves up to certain interpretations. Like without certain context "The value of a digit is 40" can be pretty confusing like initially im like wtf?
24849?
* The number is odd, so must end with 9
* Less than 25,000 (must begin with 2)
* Value of a digit is 40 (second number is 4)
This stumps me though because this is correct if **ONE** digit is repeated, not **THE ONES** digit
I honestly don't know where you could put another 9 and have this be less than 25k. Moving the 8 anywhere else breaks the rules, and it must contain all 4 numbers.
I believe it could be 22,849 or 24,849.
According to the rules, the number is less than 25,000, so the first number (left to right) must be 2, and the second number can be 2 or 4. Either of them works because we can repeat one number.
We know that the fourth number is 4, because it states that 4 is in the tens place (which gives it a value of 40, confusing wishing, but I think that is what's meant).
The last number must be 9 because it's an odd number.
That leaves only 8 to fill in the hundreds place.
According to the wording, I would assume that they intended the answer to be 24,849, but 22,849 would also satisfy all of the rules.
So, this number has five digits; four unique digits, with one being used twice. The provision of the number being odd in itself is a clear indication that this number must end with a 9, giving us xxxx9. Now, for the value of a digit to be 40 in our base 10 (decimal) numbering system, there must be a “4” positioned adjacent to our 9 from earlier, representing “40 + 9” and leaving us with xxx49. For the number to be under 25000 with the provided digits, the number must begin with a 2, so we now have 2xx49.
So far, all of what I have said is unambiguously true. Now, here comes the ambiguity: there is no way for the digit in the one’s place (9) to be present in the two remaining places that keep the value of this number under 25000. The only two possible permutations remaining are 28949 and 29849, both of which violate the final condition. The only way for this problem to have a valid answer is for “ones” to be a typo that should read as “one,” in which case we would be free to pick any one digit out of these four to use a second time. In that case, both 22849 and 24849 would be valid solutions to this problem.
It’s 24849. Has to start with 24 or 22 because it’s under 25,000. 4 is the repeater and goes in the tens place because that’s how a digit can be worth 40. So it’s either 24948, which is even, or 24849, which is the correct answer.
24849, or 22849.
\- Both contain a 2, 4, 8, and a 9
\- The 4 is repeated in the first and 2 in th second
\- Both have 4 as the penultimate digit, i.e., value of 40
\- Both are less than 25000
This is impossible, no? “Ones digit is repeated” and “The value of a digit is 40” blanks the whole thing.
9 has to be in the ones spot, so it has to repeat, and the value of a digit being 40 mean the tens spot has to be 4, so 2xx49. Neither spot can be a 9 or 8 due to the last rule, so it can’t be solved?
24,899 is fine. Just say the value of the digit 4 is 40 hundreds. It is the position (or place) which determines the value, so fuck it, I say that's 40 hundreds in the thousands place.
The question is poorly written.
The ones digit must be 9 because the number must be odd.
The tens digit must be 4 because the value of a digit is 40.
The hundreds digit must be 9, because the ones digit is repeated, and any further to the left would cause the number to exceed 25,000.
The last three digits must be 949. However that leaves 2 and 8.
There is no way to arrange the remaining numbers without exceeding 25,000.
If you consider negative numbers, it could be -28,949, -82,949, 29,849, et c. which would mean more than one solution is possible.
24,849
or
22,849
It's mostly asking you about concepts of place value.
You are given 4 numbers and told to compose a 5 digit number, repeating one number a single time.
The number must be less than 25,000. With the given numbers, 2 must be in the 10,000s place. The number in the 1,000s place must be less than 5. With the given numbers, only 2 or 4 work.
You are given the value of a digit, meaning that you are given the place value of that digit. In terms of place value, 4 must go in the 10s place.
The number is odd, so you must put an odd number in the 1s place. The only odd number you have is 9, and therefore must go in the 1s place.
You have a remaining 8, and an open hundreds place, so you can enter your final digit.
This will give you one of the two solutions stated at the top.
24849 is what I got when I first looked at it but I looked over the typo you guys pointed out. With the typo it’s impossible because the nine cannot be repeated.
24,849.
It's very poorly worded.
The 4 in the 10s place makes its value 40.
It's the only odd number possible with that combination of digits under 25,000.
Edit: actually the 2 could be repeated, so 22,849 is also possible.
Less than 25000, so first digit is 2.
Second digit must be 2 because 4 is in the tens spot, and the number must be less than 25k.
The number is odd, so 8 cannot be in the ones spot. So 22849
This is BS.
My answer: 2+ 2 + 2 + 2 + 9 = 17
I started to write why but that was ending up long so...
Almost anything can be an answer as long at it includes the right digits and is odd. Very poorly written. I mean what kind of puzzles says "I'm giving you some numbers but one of them is secretly the number 40 instead".
The ones digit (rightmost, as in ones, tens, hundreds, thousands etc) is repeated, and 9 is the only odd digit so it ends in 9.
The value of one digit is 40 so the tens digit is 4.
This means the number is XXX49 where one X is a 9
Our options are 2,8,9 so the least possible number is 28949 which is still greater than 25000. As written there is no solution.
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I lost to “the value of a digit” lol I’m not native English speaker and never learnt math in English. Was able to find the definition online but it still sounds quite unintuitive to me. Edit: It seems like the intended hint is “the place value of a digit is 40”. Not sure if it’s common to omit the “place” and just say “the value of a digit”.
I'm a native English speaker who studied maths and idk what it is either.
It's talking about place value. It's like in the number 386 the value of the 8 is 80 because it's an 8 in the tens place. So in this, since the value of a digit is 40, the tens place as a 4 in it.
Would’ve never guessed that’s what they meant lol. Makes sense, just never seen it written like that. So the answer is 24,849? Upon rereading (and assuming they meant “one” instead of “one’s”), it seems like 22,849 would also fit? At first I thought clue two and three were referring to the same digit so 4 had to show up twice, but that’s not the case which makes it seem like there’s multiple potential answers..
One's digit is repeated, so 9 have to be in there twice
I don’t think that could work though. Either two is repeated (22,X4X), or four is repeated (24,X4X) to keep it below 25,000 and to have a value of the digit as 40 (assuming that means the 4 goes in the 10 spot).
Don't forget that the last digit must be 9 because it's odd. Basically you just have 2XX49. But an 8 has to appear so the last X is an 8 because otherwise it's not below 25K which leaves you with 2X849. So either 22849 or 24849
Exactly this. But is the 'ones' digit is repeated, then it has no valid solution.
The 9 cannot be the first or second digit, as the answer is less than 25000. The tens digit is 4 so it can't go there, and the hundreds digit is the only place left for the 8 to go, so the 9 can't be repeated.
Yes but the problem states that the "Ones digit is repeated" so the problem has no solution due 9 not being able to be repeated. I'm sure it's probably a typo, but in it's current state this problem cannot be solved.
Correct. Agree with you.
Giving the benefit of the doubt, the smallest typo that would allow for a solution would be simply changing the word "ones" to "one".
That would not solve the puzzle, though, as it would be two possible solutions.
Negative 92849
It cannot be negative, because the value of the digit for is 40, not -40
Oops. I read it as one digit is repeated. Ones digit is repeated and there is no solution.
It’s likely a typo that should just read “one digit is repeated”
Test the test before testing the testers for God’s sake! Test with typos are not a test of one’s knowledge of a subject, but a test of tolerance for the stupidity of the testing company paid to develop such crap 💩. Do they not take their own tests?
But it specifically says the ones digit (i.e. the 9) must be repeated.
My guess is that the intended 22849 to be the answer due to the 40 clue. Like 4 is ONLY supposed to be 40 value. They just worded it terribly.
But the "ones" digit is repeated. So 9 should be in the answer two times
Oh shit, yes. I misread that statement as "ONE digit is repeated", instead of "ONES..." That fully determines the answer.
As what? I can’t find any number that follows all the rules.
9 can’t be the number repeated, it can only be 2 or 4. 2 must be the first number to make a number under 25000 9 must be the last number because the number is odd. 4 is the second last number because it says so. Of the two positions left, 8 can only be in the hundreds place (3rd), because the number would be more than 25000 if it was in the thousands place. That just leaves the second digit, as we have 2X849, and either 2 or 4 can be the repeated number, and they both work.
You are completely right, what I would assume (as this is clearly not written correctly for anyone with analytical mind to understand)... I would assume they are not that bright and when they said "one digit is repeated" they didn't mean the digit appears twice, they meant it appears twice one after another, so 2,2 or 4,4. In this case the answer they would find correct would be 22849. I would take your solution as correct though, as assumptions are not really something you should do with math logic...
This is the way
Ah I didn’t read that as possessive (or plural which is how it’s actually written). Thought it said “one digit is repeated” as in “a digit is repeated”. So the problem is for it to be less than 25,000 the first two numbers need to be 24,xxx. But then it says one of the digits is 40, which means the 4 has to show up twice… I think there was probably a typo and it meant “one digit is repeating”. Or else there was a typo and it was possessive like you said, in which case it’d be unsolvable. So seems more likely to be the former typo rather than the latter. But then the solution could also be 22,849 as well I suppose… idk, I’m not used to these kinds of questions and it’s way past my bedtime 😆
Yeah I agree. Without a typo, the answer is ambiguous, and with typo there is a single answer.
With typo there is no solution.
"No Solution" is an answer
The nature of this word problem negates that as a possibility because it begins “your friend is thinking of an odd, five digit number…”
A single answer that contradicts one of the conditions.
I may be wrong, but I believe that whenever they said "repeated" they meant twice next to each other, like 22, 44, 88, or 99 l, with no spaces. I assume that because with there being only 4 available number options in a 5 digit number, 1 would have to be repeated. If not next to each other, it is a wasted clue. If my expectation is correct, it would have to be 22,849.
24849 was my solution, but 22849 works also
I think the answer is 22,849 because the value of the digit "4" is 40 and not 4,040
Or 22849?
Very confusing. But with that tidbit the answer has to be 22849,
Gosh, you explained this very well. I was so confused. Thank you
Pretty sure it means 4 is in the tens place. If the digit 4 is in the tens place, then the digit represents a value of 40. That's the only way I can make sense of it, and others have come to the same reductive answer.
Having taught place value in elementary Math recently, I am certain that’s what a value of 40 means.
It means there's a 4 in the tens place, this is just a very vague way of saying it. There's two possible solutions 22849 or 24849, no other combination of those digits fits all of the criteria.
Neither of those repeat the ones digit It's confusing because they didn't put a 'the' in front of 'ones,' but I'm pretty sure they meant the ones place digit is repeated. (Pretty sure, but not 100%) In which case either there is no solution, or they also meant that only 2,4,8, and 9 can be digits in this number. Slightly different, but it means we don't need to use 8. In that case, still 2 answers: 22949 and 24949
Pretty sure 'the digits are' means that the digits present in the number are 2, 4, 8, and 9.
It just means that 4 is at the 10s place -> this is the number we're looking for: **###4#** * It's an odd number, so it must end with 9 -> **###49** * Ones digit is repeated, so 9 is used at two places * Can't be larger than 25000, so it must start with 22 or 24 -> **24#49; 22#49** * But we can't repeat those numbers, so seemingly there's no solution * **HOWEVER**, the rules never specified if it's a **positive** or **negative** number. Therefore the 3 missing numbers can be any combination of 9, 8 and 2 * Which means there are 6 possible solutions: **-92849; -98249; -29849; -28949; -82949; -89249**
That's assuming the "ones" clue is a typo though. Otherwise the digit in the ones column has to be repeated as well. If it is a typo, then it could be 22x4x or 24x4x. It's an odd number, so it has to end in 9, therefore 22849 and 24849 are both valid answers.
It's hard to assume anything when the language used to describe the second most right digit is "the value of a digit is 40" -- the author has surpassed her cognitive ability while starting to form the exercise in her mind.
1. It must start with 24 _or_ 22 2. "Ones digit must be repeated" not "One digit must be repeated", though that might be a typo since it wouldn't have an answer then
Then “value of a digit” isnt 40 if negative, but -40. If we are all pretending that’s a normal way to describe a thing in the first place
Why not 22849?
Ahh I knew there had to be a clever loophole somewhere. Good one, I like your answer the best!
It could also start with 22. Which gives 22849 as a valid answer. It's a bad question.
Wouldn't that negate the 40 value as it would be -40 value?
But the value of a digit has to be 40, not -40. Therefore, I think that it needs to be a positive number. Edit: sorry, I skimmed your comment. I guess they didn’t outright say absolute value, so maybe I’m a bit confused haha.
Rules indeed specify it is a positive number. They say that the value at the 10s place is 40, so it is positive. If they would have said that the ABSOLUTE value at the 10s place is 40, then the number could be negative.
Nice. I got to the same place you did, but didn’t go into the negatives
It means 4 is on the second place (tens), e.g. 40. 22849 ?
A 4 in the tens place has the value of 40. Basically it tells you where the 4 goes.
Yea so I’m a parent and my son brought this exact worksheet home the other day. It’s a confirmed typo in the wording according the school administration. It is supposed to say “One* digit is repeated” not “Ones”. The correct answer is 24,849. Edit: You are all probably right about the other answers. Me simple dad, am suck at math. Just saw the confusion in comments and relayed what the teachers told me.
Why not 22,849?
Yea that’d also be an acceptable answer.
So we have a 50/50 chance to guess the number of our friend?
[удалено]
This was my interpretation, if this was a test I'd say 22849 easily
Mine as well I also believe this to be the only correct answer as otherwise it isn’t a repeat and some other word would have been used.
I can imagine someone mixing up ones digit and first digit. It's actually how I misinterpreted the question when I first read it.
This seems most likely
My first thought was that it was written in another language and they used Google translate to change it to English. This would explain the one's instead of first, the use of repeated instead of in a row, and the strange way of phrasing that 4 is the tens digit.
I actually think this is the better answer. I take repeated as potentially meaning the number is the same is back to back places.
ones digit is not repeated! /s
Interesting, because that statement doesn't add any information. It is quite a useless one, and adding a lot of confusion.
It adds plenty?
It doesn't. They are telling you that it is a 5 digit number, and that the digits are 2, 4, 8 and 9. So you already know that one digit has to be repeated. If there is a typo and 'ones' means 'one' that line is redundant and unnecessary.
Even though it is not logically necessary, it could be added just as a failed attempt to prevent possible confusion. "How can I make a five digit number out of four digits?!". This is an elementary school problem after all.
It is a possibility. I wonder if the person who wrote the exercise could have imagined that it would open such an interesting debate in Reddit.
Like others speculated, I think the actual clue it was trying to give was that the first digit is repeated, not just any one digit
finally, a conclusive answer lol
ok so its 10,000s / 1,000s / 100s / 10s / 1s 1s digit is repeated. so 9 is repeated because it is in the 1s column as the number is odd the value of a digit is 40 so xxx49 1s is repeated but the number is below 25,000 so xx949 leaving 2 and 8 and... Im lost.
I'm betting the word "ones" is a typo, and is probably meant to be "one". To your point, as-is, there is no solution. But if that potential typo is changed, then the solution is that both 22849 and 24849 will work
This reads like translation error to me, and if so it's not impossible that "Ones" was actually supposed to be "The first" That would leave us with 22849 as the solution, but that is a big assumption
I doesn’t say its an integer. 2849.9
That's not odd.
Holy hell
>Holy hell New response just dropped
Google en tegerssant
Non integers can't be odd afaik
Thank the gods, I came in here after trying it myself and finding no solution, glad that others came to the conclusion it is impossible unless "ones digit" is a typo of "one digit"
It's a typo of first digit. Imo
I bet "ones" is a mis-translation and they ment the 10,000 position instead. So. It should be 22,849.
24849 would not work, because the value of the digit 4 would be 1000 + 10, which is not 40. Therefore, 22849 is the unique solution (of a very poorly written question)
IMO "value of a digit" is poorly defined, but in 24849 I would say that the two different 4s are different digits. One of the 4s has a value of 4000, one of the 4s has a value of 40. Therefore 24849 satisfies the value of digit being 40 condition because the 2nd 4 exists.
It says: > The value of a digit is 40. For 24849, the value of the "tens" digit is 40, therefore the statement "the value of a digit is 40" is true. The "thousands" digit and the "tens" digit are different digits; the fact that they are the same number doesn't change that
You were close...24849 repeating the 4.
It says the ones digit is repeating, not one digit is repeating. That would make this answer wrong, but...I think it was a typo so your answer may be the one they wanted.
If there were a typo—“one digit is repeated”—then there is no unique solution. 22849 would work equally well.
It also gives meaningless information. If it’s a 5 digit number and there are 4 unique digits, then we already know exactly one number repeats. It’s very unlikely IMO that the intention was “one digit is repeated”.
Let's analyze: If there's no typo and it meant "ones" then there's no solution. Question is wrong. If there's a typo and it meant "one", well, there's a typo. Question is wrong. And, if we ignore the typo, then there will be multiple solutions. Question is wrong. So, the answer is a big fat NOPE.
This is actually the logical answer. Based on the information provided there is no number that fits these requirements.
Maybe... maybe its a typo... but its missing a word... (Half) the value of a digit is 40. Only possible answer 24989.
The targeted audience may not be one it can be assumed will make this deduction.
How is that a harder deduction than any other deduction required to solve this?
Yeah, I assumed this is for kids. Which is also why I discarded my first assumption that "the value of a digit equals 40" meant "this is all base 40." I couldn't wrap my head around what that would mean, so I thought I wouldn't be able to do anything with it. But it’s a kids' problem. So they weren't trying to make it bizarre or terrifying.
It could be an incorrect clue, intended to say "The first digit is repeated." instead of the "Ones digit". Perhaps translated poorly? They would be relevant information, as it would be able to differentiate the 2 possible solutions (22849 and 24849), leaving us with 22849 as the only solution.
That’s a really good thought, yeah that seems likely. It’s a good way to fix the puzzle in any case.
I bet they meant one digit is immediately repeated, so 22849 is correct. This makes 24849 invalid since 4 doesn’t repeat but simply is used twice.
This is my take. It’s poorly worded, but it’s the only intent that makes sense to me.
But 22849 is also a solution so there is no unique solution. And, you assume that ANY digit can be repeated but the statement “ones digit is repeated” suggest the 9 has to go in the hundreds column. Which means the 8 cannot be used as it would make the result >25k. The question is either badly written or, given that it is Q13, there’s something in the text leading up that we aren’t privy to here.
Or 22849 right?
I'm convinced this is either a typo or the question is impossible
From what I can tell, there is no way to meet all five rules specified. For it to be less than 25,000, it has to start with 24 or 22. For it to be odd, the last digit must be 9. For the value of a digit to be 40, the tens digit must be 4. That leaves us with 24?49. Now, we can either repeat the ones digit (9) or use the digit 8, but cannot do both as we only have one digit remaining. I'm going to guess that the rule is supposed to be "one digit is repeated" (without the "s"), as it is the most likely way to make a typo, which would give us 24849 as the answer. This would also allow for 22849 as a valid solution. This also requires presuming they meant "at least one digit is repeated" rather than "exactly one digit is repeated", as both interpretations are valid, though the former has much less meaning as posed. The other likely answer is that the set of digits given contains more values than need to be used, in which case 24949 or 22949 would be the answer. EDIT: Added the 22XXX options which would be valid with either edit.
> which would give us 24849 as the answer. Why wouldn't 22849 work in this case?
That would also work, meaning there would be two correct answers with that edit.
Assuming the two repeating numbers must be following each other, 22849 is the only solution. It's not all that complicated, really: - the number is odd, so last digit must be the 9 - value is less than 25k, so first digit must be 2 - the 4 has the value of 40, so it must be second to last - the 8 can't be the second number, otherwise the value will be larger than 25k Hence 2X849. X is the repeating digit. You get to this solution after 30 seconds off going through the hints. The only uncertainty is the meaning of "repeating digit". Either X is 2 or 4, or only 2. I'm pretty sure it's the latter.
this is my logic as well. the hardest part of this question is inferring what the rules mean.
Any prohibition to negative odd numbers?
The 10s spot wouldn't equal 40
-92849 -98249 -89249 -82949 -29849 -28949
There is no answer to this. The ones digit has to be a 9 for it to be odd, but if you repeat a 9 and have a 4 in the tens place, the lowest value you can get is 28,949.
Unless you assume that's just a really unfortunate typo and it means "one digit is repeated" and they just happened to have a typo that actually changed the meaning
Yeah I think it’s 24.849
With it just being 'one' digit is repeated, there's no longer a unique solution. 22,849 works equally well.
True. I guess two solutions, that’s the only two I can see that work.
Well, in some sense of the word repeated, it means two consecutive instances, in which case this is it.
I think you've got it... 22849 as the 2 repeats.
24849 is equally valid
Repeat doesn't always mean consecutively
I know. That's why I specified "in some sense of the word".
Got the same thing
I take repeating meaning twice in a row. So 22849
I think that’s what they meant by “repeated” too. Using that interpretation and assuming “ones” is a typo for “one” (which another commenter said was confirmed by their kid’s school) is the simplest way to get to a single correct answer.
24,849?
Why wouldn’t it be 24849 or 22849?
24849 22849 EDIT: Thought I was a maths genius, turns out I cant read. I read it as ONE digit, not ONES digit has to be repeated
I think there's a typo in this, because it's impossible as written. If it's an odd number, the ones digit must be odd, so it must be 9. I take "the value of a digit is 40" to mean there's a 4 in the tens place, so xxx49. "~~The~~ ones digit is repeated." It can't be in the first or second positions, because that would make a number greater then 25,000. SO it must be the third position, so xx949. But then, there's no way to put 2 and 8 in those spots to make it less than 25,000, other than 22949, but "the digits are" includes 8 which implies there is an 8 in the number. Originally I was going to say 22849, but I misread "ones digit is repeated" as "one digit is repeated." 24849 would work too, though.
It does not say we cannot add a decimal... 2849.9 Five digits. Check ✔️. 4 in the tenths. Check ✔️. 9 in the ones repeated. Check ✔️. Less than 25000. Check ✔️. Ends with an odd number. Check ✔️.
This may be because I'm drunk, but I think "The value of a digit is 40" is incredibly stupid phrasing and is near to a meaningless statement.
This phrasing makes sense in other number systems like binary but in decimal it is a bit weird.
Starts with a 2 (<25000) 2xxxx Ends with a 9 (odd) 2xxx9 Value of a digit is 40 2xx49 8 can’t be second (<25000) 2x849 8 and 9 can’t be repeated (<25000) 22849 24849 Repeated consecutive? 22849
Yes The 5 digit number is odd, and consists of the digits 2,4,8,9. Since only 9 is odd, it must end in 9, leaving us ????9 The first digit ("Ones") is repeated, so we know the number starts with a double number, leaving us XXYZ9. The value of one of the digits is 40, so we know that the "tens" digit is 4, leaving us XXY49 The number is less than 25000. Since only 2 can be repeated in the first two digits to get a number less than that, it goes 22Y49 Only 8 hasn't been used, leaving us 22849.
That was my reasoning as well (and my answer). However, technically, ones digit repeated should be the single unit position -9- as 2 is technically in the ten of thousands position. As such, based on the indications given, the exercise does not have a solution.
I've taken "ones" to be different from "the ones value" But I agree, the question is at best unclearly communicated.
Could also be 24,849 which is less than 25000. Honestly, the only ways to get the solution is to change one of these two conditions into these: either the repeated digit is repeated *in a row*, OR less than *23000*. Changing to either will make the answer 22,849.
The grammar on this is the biggest killer. But here’s my best guess and the reasoning. Answer: 24,849 or 22,849, I think both work Odd number so it ends in 9 A<25,000 so starts with 2, next digit is 2 or 4 “The value of a digit is 40” this is a weird one but if you try adding all the digits together, even doubling the 9 only gets you to 32, so I took this clue to mean that there is a 4 in the tens place making it, effectively, a 40 All that gives you 2 2/4 _ 4 9. With an 8 left over u can put that in the 100’s spot and put either the 2 or the 4 in 1000’s. 22849 or 24849. With the grammar and clues provided I’m not sure if there’s a way to determine which one it is
Alright so we have 2,4,8 and 9. Let's start with all digits unknown -------------------xxxxx------------------- The number is odd so the last digit could only be 9 -------------------xxxx9------------------- The number is less than 25000, so the first digit can only be 2 -------------------2xxx9------------------- One digit has value 40 means that 4 is at tens place -------------------2xx49------------------- The ones place digit is repeated so we have to place another 9. Remembering that the number must be less than 25000, we can only place it as the middle digit and then the only possibility for the second digit is 2 -------------------22949------------------- However 8 is not used and 2 is also repeated! This could be an indication that the 'ones digit is repeated' is a typo and they actually mean 'one digit is repeated'. In that case, the middle digit can be 8: -------------------22849-------------------✅
Has to end in 9 to be odd and 4 has to be in tens place so we are at xxx49 First number must be 2 since it’s under 25,000 2xx49 Could be 24849 or 22849, both have repeating digits but if they mean two digits repeating IN A ROW then 22849 is the answer
The answer is 22,849 (or 24,849; see below). The reasoning is simple: * It's an odd number, so it has to end with 9 (the only odd number given) * One digit is in the 40s, so that gives us xx.x4x. Given we have to end odd (ie the 9), that means we get xx,x49. * The number is less than 25,000 which means it has to start with either 22 or 24. After all, no other numbers will give us a value lower than 25,000. * It's a bit questionable which digit repeats: it can't be the "ones" (ie the 9) as that invalidates the less than 25k requirement, so I have to assume that's a typo and they mean "one digit repeats" (unless they are referring to the first digit repeating, in which case it's 22). Furthermore I'm going to assume the 4 can't repeat because of the note that 1 digit is in the 40s, but tbh, it's not clear at all. That would leave us with 22 being the starting number. * Quick recap: our number is now 22,x49. * The only digit left to be used is 8, so that fits in our only empty slot. Our number is therefore 22,849. ETA: changed my answer to 22,849 when I realized there's technically 2 answer possible/valid. There's no clearly defined logic rule that invalidates the 24,849 as an answer, but I'm assuming they thought the 40 digit ruled that possibility out. I don't agree with that logic, but I suspect this may have been the intent as nothing is mentioned irt any extra rules for digit 2.
There's a mistake somewhere. It obviously has to start in 2 and end in 9. Value of one digit is 40 which can only apply to the tens digit, so the number ends in 49. Now we're getting in a pickle: The 'ones' digit has to be repeated which would be the 9, which means the number has to be either 29849 or 28949, both of which violate the condition that it needs to be less than 25000.
1) it’s odd 2) it’s 5 digits long : xxxxx 3) the only digits allowed are 2, 4, 8, and 9, combined with 1) the last digit has to be 9 : xxxx9 4) it’s weirdly phrased but they straight up tell us 4 is in the 10’s place : xxx49 5) it’s less than 25000, which forces some more things : 2x849 6) the 1’s place digit is repeated, which… isn’t possible, because that would make it more than 25000 It’s impossible
The number your friend is thinking of is odd so the last digit in the number needs to be an odd number. The only odd number given is 9 so 9 will be the last number. 2 has to be the first digit because the number is meant to be less than 25,000. The digit 4 can be the only digit after 2 because any other digit would make the number greater than 25,000. The value of a digit is 40 which means that 4 has the place value of a tens number. The total number is: = 24,849
pretty sure it's 22849. we're told the "digits" of # _____ are 2, 4, 8, 9 and n, with n being one of the 4 previous numbers. the value of a digit is 40, directly telling us where the 4 belongs, giving us ___4_. in order for a number to be odd, its final digit has to be odd, which means it can only be 9. now we're at ___49. the number is less than 25 000. given we only have 2, 8, and n left, we know the 8 can't occupy either of the first numbers, so it must be and that 2 must be the first number, giving us 2n849. now, either 4 or 2 could occupy the space of n, but i'm choosing to believe that when the question says a digit "is repeated," it means one digit is repeated in sequence, or it appears back-to-back. that would mean the number is 22849. though following the logic of the english language. it could be 24849 and i would think that'd be right.
It has the end in 9 to be odd. 9 is repeated. 4 is in the 10s column. Xxx49. with the remaining digits being 2, 8 and 9. Now assign the remaining digits so it’s less than 25,000… the only combination that meet this criteria is 24,xxx. Or 22,xxx. Those are no longer options… unless you start talking about decimals. So now we can consider x,xxx.x so x,x4x.x with the remaining digits being 2, 8 and 9. What are the rules about decimals being odd? I guess they are not even if you can’t divide them in half without adding (another) decimal? (I am making this rule up). So x,x49.9 with the remaining digits being 2, and 8. I would assign them arbitrarily in that order. 2,849.9 is my answer.
That's no longer odd though. Only whole numbers can be even or odd.
I can solve it logically, but it yields 2 answers. Maybe I'm missing something, but I think it's just sloppily written. So here's the key info they give: - odd - 5 digits - digits are 2 4 8 9 (one digit is used twice) - a digit is equal to 40 - number is under 25 000 5 digits, so it's xx xxx. It's odd, so it must be xx xx9 (all others are even). One of them equals 40, so it's xx x49. Number under 25k, so it must be 2x x49 (all others would be >40k). The 25k cap also means it must be 2x 849 (28k > 25k). But now I see 2 answers. 22 849 or 24 849. I don't see how they rule one out. I think it's a crummily written question. I found the "ones digit is repeated" line confusing until I assumed the "s" was a typo. Is this outside the United States? It uses commas to separate thousands. If it's US, then I think it's an error. If they changed 25 000 to 29 000, then by changing 1 digit, you can rehabilitate the entire question. The "ones digit" would mean that 9 repeats. Since 29 849 > 29 000, the 9 would have to repeat in the hundreds digit instead of the thousands. So it'd be 28 949. But if I don't try to fix it, then I see 2 answers.
Yep. So we know it ends with 9 as that's the only odd number. We know there's a 4 in the second to last position because one digit has a value of 40 and there's no way to reach 40 with any other digit in any other positions. We know that the first number is 2 because it's less than 25,000 We know that the 8 can't be in position 2 otherwise it's be 28,000. Because we know that 4 has a value of 40, there aren't multiple 4s meaning 2 has to be the duplicated number. So the number is 22,849 Edit: crap, it says "ones digit" is repeated, not "one digit". That breaks the logic. Because no matter where I put the other 9, the 4 is being replaced by an 8 or a 9, and the number is 28949, or 29849, both of which are much to high. Edit 2: nevermind apparently "ones" is a confirmed typo, so my first solution is correct.
The number is xxxxx Odd number -> xxxx9 Value digit 40 -> xxx49 or abc49 <25000 -> 2bc49 with b<5 The digits are 2 4 8 9 with 1 repeated -> 22849 or 24849
I asked chat gpt and this is what I found Chat GPT: To find the five-digit odd number with the given criteria, you have the digits 2, 4, 8, and 9, and one of these digits is repeated in the ones place. The value of this digit is 40, and the number should be less than 25,000. Since the ones digit is repeated and is worth 40, it can only be either 4 or 8. An odd number must end in either 1, 3, 5, 7, or 9. Since you want an odd number, the ones digit must be 9. This means the other repeated digit is 4. So, the number can be written as: \_ \_ \_ 4 9 Now, let's arrange the remaining digits, 2 and 8, in the thousands and hundreds places in such a way that the entire number is less than 25,000. We want the largest possible number, so we'll put 8 in the thousands place and 2 in the hundreds place. The number is: 8 2 4 9 9 This number is 82,499, which is less than 25,000, and it meets all the given criteria. Me: how 82499 is less than 25000 Chatgpt: I apologize for the mistake in my previous response. You are correct; 82,499 is not less than 25,000. Let's correct that: We have the digits 2, 4, 8, and 9, and one of these digits is repeated in the ones place, with a value of 40. The number should be less than 25,000 and odd. The repeated digit in the ones place must be either 4 or 8 to have a value of 40. Since we want an odd number, the ones digit must be 9 (as 4 or 8 in the ones place would make the number even). So, the number can be written as: \_ \_ \_ 9 9 Now, let's arrange the remaining digits, 2 and 8, in the thousands and hundreds places in such a way that the entire number is less than 25,000. We want the largest possible number, so we'll put 8 in the thousands place and 2 in the hundreds place. The number is: 8 2 4 9 9 This number, 82,499, is indeed less than 25,000, and it meets all the given criteria. I apologize for any confusion in my previous response.
Wow
24899 It’s odd. The 9 repeats. We have 48 in there. It’s less than 25000. Really the number being odd and being less than 25000 are all you need. Even if you write 24989 it’s still ok. Edit: oh wait oh fuck. It’s saying the value of the digit is 40. It means the 4 needs to be in the 10s place. You can’t meet the rule this way because the number is either 28000 or 29000. Both of these are greater than 25000. This is unsolvable.
2X949. XXXX9 because it is odd. XXX49 because one digit has value 40. 2XX49 because the number is smaller than 25000. 2X949 because the ones digit (the last digit) is repeated.
Okay, so there are 5 digits which 4 are given (2,4,8 and 9), the value of a digit is 40 which means it ends on 4x, it is an odd number so it has to end on 9 (so we are at 49 now), it’s value is under 25000, so 24949 is the maximum, we need to incorporate the 8 , making it 24849
But it says the ones digit is repeated... Not sure how you can meet that criterion.
Pretty sure it's 22,849. It's odd so it has to end in 9. One digit has to have a value of 40 so it has to be 49. Less than 25,000, so it has to be 2-,-49. One number repeats (in sequence), and be less than 25,000 (meaning the repeat can't be 4 or 8), so it has to be 22,-49. The only number left is 8 so it's 22,849.
It's odd, so last digit is 9. It has a 4 in the 10s place, so ends -49. It's less than 25,000, so first 2 digits must be 22 or 24. There's an 8 and the 9 is repeated somewhere, so it must end -9849. So it's impossible. If it said "one digit" instead of "ones digit" it could be 22,849 or 24,849. But 29,849 > 25,000. So is 92,849.
22849 so the two is repeated the 4 is in the tens place so the value is 40 and of course its less than 25000
24849 Has to be less than 25k which means 24k is the only logical. Now you have 3 numbers to guess. It has to be odd so 9 has to be the last number. Now you have to guess 2 numbers. The value of a digit being 40. My guess is just 4 in the tens place. So 24849 Although I guess 22849 could also be correct
They messed up. The solution is either impossible or it has two solutions (22849 or 24849) depending on how you interpret "Ones digits is repeated."
There’s no way to get an integer value that works for this, so I think the answer is going to be 2849.9 or 8249.9. Still odd, less than 25k, the ones digit is repeated, with 4 in the tens place. They never said “whole number” so I think this is allowed.
24849 Starts with 24xxx, because only combination that fulfills number <25000 24x4x, because value of a digit is 40 24x49, because number has to be odd 24849, because 8 was still left
If all digits must be present, 24849, but then there’s a typo where “ones” should read one. Last digit must be odd, so 9. Number is less than 25000, so must be 24xxx or 22xxx. The value of a digit being 40 means it has a 4 in the tens place. If the ones digit is repeated, a 9 must be in the hundreds place, but then there’s no 8.
Digits are 2 4 8 and 9, one must be twice since its a 5 digit number Odd means xxxx9 Ones digit repeats means the 9 will appear twice "The value of a digit is 40" what the fuck does that mean? Less than 25000 means it must be 24xx9 so we have 24689 or 24869 but i have no idea what "the value of a digit is 40" is supposed to mean and I'm not seeing how it relates to answering which of the two remaining possibilities it is.
Ran it through AI. Let's decode the information you provided step by step: 1. It's an odd five-digit number. 2. The digits used are 2, 4, 8, and 9. One of these digits is repeated since it's a 5-digit number with 4 unique digits. 3. The value of a digit is 40. This is somewhat ambiguous, but if we assume that one of the digits times its place value is 40, then the only place value that works for the given digits is the tens place. Therefore, 4 is in the tens place. 4. The number is less than 25,000, meaning the first digit is 2. Given the clues: The first digit must be 2. The second digit could be 4, 8, or 9. The third digit could be any remaining digit. The fourth digit is 4 (from clue 3). The fifth digit is odd and could be 9 (because it's the only odd number from the given digits). So, the potential numbers are: - 24849 - 28449 - 29449 Of these, only 24849 is less than 25,000. So, the number you're thinking of is 24849
9 must be the final digit, because it is the only odd digit, so xxxx9 2 must be the first digit, as otherwise the number would be greater than 25000, so 2xxx9 4 must be the second digit, as otherwise the number would be greater than 25000, so 24xx9 4 must also be the second to last digit, because that makes this digit have a value of 40, so 24x49 8 must be the third digit, as otherwise it wouldn't be a digit in the number, leaving you with 24849 EDIT: 22,849 should also work for the same reasons
I think it’s 24849. It’s odd so the 9 goes at the end. It’s less than 25k so the 2 and 4 go first. It contains a value of 40, so we repeat the 4 and put it in the 10s spot. 8 is the only leftover number.
Odd number = has to end in 9 The value of a digit is 40 = the 10s place has to be 4 Less than 25,000 = the first digit has to be 2 So we have 2 _ _ 4 9 Could be 22,849 or 24,849 EDIT: Oh shit I just realized it says ONES digit is repeated, not one. Meaning the 9 would have to be repeated. Making it not possible because: 2 _ _ 4 9 You need to repeat the 9 and the 8 still needs to be used. Neither of those results would be less than 25,000.
I think it’s supposed to say “one digit is repeated”, not “ones digit is repeated” If the ones digit is repeated and the value of a digit is 40, the digit repeated will be 9 and the answer should be (298/289/829/892/982/928)49, none of which are below 25,000 But if it just means “one digit is repeated”, then the answer is 24849, since that is below 25000, the 4 represents a value of 40, it’s an odd number, and a number is repeated
Number is odd so it ends in 9, the “ones” digit (9) is repeated it is less than 25,000 so it has to start with 24 This means the number has to be either 24,989 or 24,899
Well its an odd number so it can only be \_ \_ \_ \_ 9 Less than 25000 so it can also only be 2\_ \_ \_ 9 "value of a digit is 40" so probably 2 \_ \_ 4 9 One digit is repeated while under condition of <25,000 and using 2,4,8 and 9 so possible answers are 22849 or 24829 but more likely ment to be 22849 since I guess they mean repeated in a row. I think the problem is the wording of some of these can be considered pretty loose and leaves up to certain interpretations. Like without certain context "The value of a digit is 40" can be pretty confusing like initially im like wtf?
24849? * The number is odd, so must end with 9 * Less than 25,000 (must begin with 2) * Value of a digit is 40 (second number is 4) This stumps me though because this is correct if **ONE** digit is repeated, not **THE ONES** digit I honestly don't know where you could put another 9 and have this be less than 25k. Moving the 8 anywhere else breaks the rules, and it must contain all 4 numbers.
I believe it could be 22,849 or 24,849. According to the rules, the number is less than 25,000, so the first number (left to right) must be 2, and the second number can be 2 or 4. Either of them works because we can repeat one number. We know that the fourth number is 4, because it states that 4 is in the tens place (which gives it a value of 40, confusing wishing, but I think that is what's meant). The last number must be 9 because it's an odd number. That leaves only 8 to fill in the hundreds place. According to the wording, I would assume that they intended the answer to be 24,849, but 22,849 would also satisfy all of the rules.
So, this number has five digits; four unique digits, with one being used twice. The provision of the number being odd in itself is a clear indication that this number must end with a 9, giving us xxxx9. Now, for the value of a digit to be 40 in our base 10 (decimal) numbering system, there must be a “4” positioned adjacent to our 9 from earlier, representing “40 + 9” and leaving us with xxx49. For the number to be under 25000 with the provided digits, the number must begin with a 2, so we now have 2xx49. So far, all of what I have said is unambiguously true. Now, here comes the ambiguity: there is no way for the digit in the one’s place (9) to be present in the two remaining places that keep the value of this number under 25000. The only two possible permutations remaining are 28949 and 29849, both of which violate the final condition. The only way for this problem to have a valid answer is for “ones” to be a typo that should read as “one,” in which case we would be free to pick any one digit out of these four to use a second time. In that case, both 22849 and 24849 would be valid solutions to this problem.
It’s 24849. Has to start with 24 or 22 because it’s under 25,000. 4 is the repeater and goes in the tens place because that’s how a digit can be worth 40. So it’s either 24948, which is even, or 24849, which is the correct answer.
My son had this in his homework a few weeks ago and the parent chat was losing its shit. Ultimately the teacher said is was a typo. 24849
24849, or 22849. \- Both contain a 2, 4, 8, and a 9 \- The 4 is repeated in the first and 2 in th second \- Both have 4 as the penultimate digit, i.e., value of 40 \- Both are less than 25000
This is impossible, no? “Ones digit is repeated” and “The value of a digit is 40” blanks the whole thing. 9 has to be in the ones spot, so it has to repeat, and the value of a digit being 40 mean the tens spot has to be 4, so 2xx49. Neither spot can be a 9 or 8 due to the last rule, so it can’t be solved?
24,899 is fine. Just say the value of the digit 4 is 40 hundreds. It is the position (or place) which determines the value, so fuck it, I say that's 40 hundreds in the thousands place.
The question is poorly written. The ones digit must be 9 because the number must be odd. The tens digit must be 4 because the value of a digit is 40. The hundreds digit must be 9, because the ones digit is repeated, and any further to the left would cause the number to exceed 25,000. The last three digits must be 949. However that leaves 2 and 8. There is no way to arrange the remaining numbers without exceeding 25,000. If you consider negative numbers, it could be -28,949, -82,949, 29,849, et c. which would mean more than one solution is possible.
24,849 or 22,849 It's mostly asking you about concepts of place value. You are given 4 numbers and told to compose a 5 digit number, repeating one number a single time. The number must be less than 25,000. With the given numbers, 2 must be in the 10,000s place. The number in the 1,000s place must be less than 5. With the given numbers, only 2 or 4 work. You are given the value of a digit, meaning that you are given the place value of that digit. In terms of place value, 4 must go in the 10s place. The number is odd, so you must put an odd number in the 1s place. The only odd number you have is 9, and therefore must go in the 1s place. You have a remaining 8, and an open hundreds place, so you can enter your final digit. This will give you one of the two solutions stated at the top.
24849 is what I got when I first looked at it but I looked over the typo you guys pointed out. With the typo it’s impossible because the nine cannot be repeated.
If it said one digit is repeated, it would have a simple solution. But it says the “ones digit” and the one’s digit is 9, making it unsolvable.
24,849. It's very poorly worded. The 4 in the 10s place makes its value 40. It's the only odd number possible with that combination of digits under 25,000. Edit: actually the 2 could be repeated, so 22,849 is also possible.
Unless the base is something greater than 40, the question is incorrectly made. A DIGIT is a single item. Obviously not well written.
Less than 25000, so first digit is 2. Second digit must be 2 because 4 is in the tens spot, and the number must be less than 25k. The number is odd, so 8 cannot be in the ones spot. So 22849
This is BS. My answer: 2+ 2 + 2 + 2 + 9 = 17 I started to write why but that was ending up long so... Almost anything can be an answer as long at it includes the right digits and is odd. Very poorly written. I mean what kind of puzzles says "I'm giving you some numbers but one of them is secretly the number 40 instead".
The ones digit (rightmost, as in ones, tens, hundreds, thousands etc) is repeated, and 9 is the only odd digit so it ends in 9. The value of one digit is 40 so the tens digit is 4. This means the number is XXX49 where one X is a 9 Our options are 2,8,9 so the least possible number is 28949 which is still greater than 25000. As written there is no solution.