Mathematics

In each of the following cases, find the least value/values of letters used in place of digits :
$\begin{matrix} & 8 & \text{A} & 5 \ + & 9 & 4 & \text{A} \ \hline 1 & \text{A} & 3 & 3 \ \hline \end{matrix}$

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$\begin{matrix} & 8 & \text{A} & 5 \ + & 9 & 4 & \text{A} \ \hline 1 & \text{A} & 3 & 3 \ \hline \end{matrix}$

Clearly, we will find the value of A.

5 + A is a number whose ones digit is 3.

⇒ 5 + A = 3, 5 + A = 13 , 5 + A = 23; and so on.

⇒ A = 3 - 5, A = 13 - 5, A = 23 - 5; and so on.

⇒ A = -2, A = 8, A = 18; and so on.

$\begin{matrix} & 8 & \text{8} & 5 \ + & 9 & 4 & \text{8} \ \hline 1 & \text{8} & 3 & 3 \ \hline \end{matrix}$

Since, A is a digit. ∴ A = 8

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