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Successor and Predecessor

If 2791 A ,...

Question

If $2791 A$ , is divisible by $9$ , supply the missing digit in place of $A$

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Solution

A number is divisible by 9 if the sum of the digits is divisible by 9.
So, $19 + A = 27$ as only one digit can be added to the sum and 27 is divisible by 9
Therefore $A \to 8$

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