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8 February, 18:54

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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  1. 8 February, 19:09
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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.
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