If 1174a6 is a six-digit number which is divisible by 9. Find the value of a.

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Solution

For a number to be divisible by $9,$ then the sum of digits is also divisible by $9 ⟹ 1 + 1 + 7 + 4 + a + 6 = 19 + a ⟹ a = 8$

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