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Question

Find all possible values of y for which the 4-digit number 64y3 is divisible by 9. Also, find the numbers.

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Solution

For a number to be divisible by 9, the sum of the digits must also be divisible by 9.

6+4+y+3=13+y

For this to be divisible by 9:
y=5

The number will be 6453.

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