Jonah ia thinking of a 2 didget number. it is a multiple of 6 and 12. it is a factor of 108. the sum of the didget is 9. what number is jonah thinking of?

A multiple of 12 is automatically a multiple of 6, so all you need to think of is multiples of 12.

2-digit multiples of 12:

12, 24, 36, 48, 60, 72, 84, 96

Of all the 2-digit multiples of 12 listed above, only two have a sum of digits equaling 9: 36 and 72.
36 is a factor of 108 since 36 * 3 = 108.72 is not a factor of 108.

The number is 36.