If $x$ is a digit of the number $66784 x$ such that, it is divisible by $9$ , find possible value of $x$ .

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Solution

If the sum of digits of a number is divisible by 9, then the number is multiple of $9$
$i . e, 6 + 6 + 7 + 8 + 4 + x = 9 n ⟹ 31 + x = 9 n ⟹ n = 4 ⟹ 31 + x = 36 ⟹ x = 5$

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