# re: Math Puzzle?page 2

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There is a number. If it is not a multiple of 4, then it is between 60 and 69. If it is a multiple of 3 it is between 50 and 59. If it is not a multiple of 6 it is between 70 and 79. What is the number?

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[Y]
1 2
Hi all

I did nothing magical here, at first i found it difficult to get my head round it ( and probably more difficult to explain here) but here goes.

I looked at the last statement ( If it is not a multiple of 6 it is between 70 and 79.) So i assumed at first that it was a multiple of 6 and looked at the first statement 60-69. 66 is the only number that is a multiple of 6, but that is a multiple of 4 and 3 as well. As a multiple of 3 said it must be in the second group 50-59 ( which gave 51,54,57) i concluded that the number i was looking for had to be a multiple of 4 but not a multiple of 6 and also in the last group ( 70-79).

So the only number between 70 and 79 that is a multiple of 4, but not a multiple of 6 is 76. ( Badly explained i know) but my head hurts!!! [Y]
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good explanation
Eargasms
I did nothing magical here

That's not true Ear! You just don't want us to know that you are a wizard!

[8]

76
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