If A2 − 15 = 5A, where A is a digit, then evaluate A.

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Solution

The correct option is A 7
A2 − 15 = 5A can be written in the following way:

$\Rightarrow (10 A + 2) - (10 + 5) = 50 + A \Rightarrow 10 A - 13 = 50 + A \Rightarrow 9 A = 63 \Rightarrow A = 7$

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