Question

Jonah is thinking of a 2-digit number.it is a multiple of 6 and 12.it is a factor of 108.The sum of its digits is 9.What number is Jonah thinking of?

Answer 1

Answer:

36

Step-by-step explanation:

There are an infinite number of multiples of 6 and 12, so it is easier to first look at the factors of 108, specifically the 2 digit factors, and go from there. The 2-digits factors of 108 are 12, 18, 27, 36, and 54. The factors 18, 27, and 36 have digits whose sum is 9. However, only 36 is a multiple of both 6 and 12 (6*6=36 and 12*3=36). So, the number Jonah is thinking of must be 36.