Question
If $AB \times 4 = 192,$ then $A + B = 7.$
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Answer
Here, $B \times 4$ is a two-digit number whose unit’s digit is $2.$
Therefore, the value of $B$ is either $3$ or $8.$
But $B = 3$ is not possible as $A \times 4 + 1 \neq 19$ for any value of $A$ between $0$ to $9.$
$B = 8$ and then $A = 4$
Hence, $A + B = 12$
Therefore, the value of $B$ is either $3$ or $8.$
But $B = 3$ is not possible as $A \times 4 + 1 \neq 19$ for any value of $A$ between $0$ to $9.$
$B = 8$ and then $A = 4$
Hence, $A + B = 12$
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