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# Suppose that M and N are positive 2-digit integers and that

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Suppose that M and N are positive 2-digit integers and that [#permalink]  07 Aug 2017, 12:21
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Suppose that M and N are positive 2-digit integers and that N=\frac{M+5}{2}. If \frac{M}{3} is not an integer, what is the largest possible value of N?

[Reveal] Spoiler: OA
51

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Re: Suppose that M and N are positive 2-digit integers and that [#permalink]  25 Sep 2017, 05:55

The fact that M/3 is not an integer means that M is not divisible by 3. Thus, we should start from the highest 2-digit number and go back to find the highest possible value of N.
- N=99 -> it's divisible by 3
- N=98 -> not divisible by 3 but N would be 51.5 that is not an integer
- N=97 -> not divisible by 3 and N would be 51.
The highest value of N is 51!
Re: Suppose that M and N are positive 2-digit integers and that   [#permalink] 25 Sep 2017, 05:55
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