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Question

Replace * by a digit to make the number exactly divisible by 9

91*67


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Solution

A number is divisible by 9 if the sum of its digits is divisible by 9.

91*67=9+1+*+6+7=23+*

Observe that when *=4, then the sum of its digits is divisible by 9

Hence, the * will replace by 4.


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