Question 139

If 381A is divisible by 9, find the value of the smallest natural number A.

Solution

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For any number to be divisible by 9, the sum of the digits of the number has to be divisible by 9.
Sum of digits of 381A is 12+A. The smallest value of A to make 12+A a multiple of 9 is 6.
Thus, the smallest natural number value of A is 6.

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