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

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!