Why must 2 digits of any 2-digit number that is multiple of 9 (eg 27) add up to 9?

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Why must 2 digits of any 2-digit number that is multiple of 9 (eg 27) add up to 9?

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Because 9 is a power of 3, and as such carries some of the properties of 3, such as the digits of a product of 9 adding up to a number divisible by 9

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