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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?

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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.

Answer: The number is 36.

User Ahi
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