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Suppose that M and N are positive 2-digit integers and that
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07 Aug 2017, 12:21
07 Aug 2017, 12:21
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Question Stats:
65% (01:24) correct
34% (01:50) wrong based on 123 sessions
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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?
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51
Re: Suppose that M and N are positive 2-digit integers and that
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25 Sep 2017, 05:55
25 Sep 2017, 05:55
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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.
- M=99 -> it's divisible by 3
- M=98 -> not divisible by 3 but N would be 51.5 that is not an integer
- M=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
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05 Sep 2020, 11:36
05 Sep 2020, 11:36
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I think in this answer you mean to put M= 99, M=98... etc. Otherwise the explanation is very confusing.
