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consider the conjecture "if the sum of the digits of a number is divisible by 9, then the number itself is divisible by 9." is the conjecture true?

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Yes
54_ 5+4=9 9/9=1 54/9=6
27_ 2+7=9 9/9=1 27/9=3
126_ 12+6=18 18/9=2 126/9=14
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