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

Explanation:

36

36x3=108

3+6=9

Answer 2

Answer: 36

Step-by-step explanation: First, we know that 36 is a 2-digit number. Next, 36 is a multiple of 6 and 12. It's not the least common multiple, but it is a multiple so that satisfies it.

Factors of 6

1 x 6 = 6

2 x 6 = 12

3 x 6 = 18

4 x 6 = 24

5 x 6 = 30

6 x 6 = 36

Factors of 12

1 x 12 = 12

2 x 12 = 24

3 x 12 = 36

Both of these lists have a multiple of 36.

36 is a factor of 108 because 108 breaks down into 3 x 36. Also, when reversing the digits, we have 6 + 3 which is 9.

So the number is 36.