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30 November, 17:50

Micah is thinking of a two digit number. it is a multiple of 6 and 12. is a factor of 108. the sum of its digits is 9. what number is Micah thinking of

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  1. 30 November, 18:59
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    First, 12 is a multiple of 6, so we only need to look for multiples of 12. Also, it has to be smalle, r or equal to than 108 since it's its factor. So let's list the multiples of 12 smaller than 108:12,24,36,48,60,72,84,96,108. Of these only 36,72 and 108 have a sum of digits 9, but 108 is not a two digit number. 72 is not a factor of 108, but 36 is (if you multiply it by 3), so 36 is the correct answer!
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