Question

Find the values of the letters in each of the following and give reasons for the steps involved:

$AB$
$+\underset{–}{37}$
$\underset{–}{6A}$

• A. $B=5,A=2$
• B. $B=8,A=2$
• C. $B=5,A=7$
• D. None of these

Answer 1

The correct option is A $B=5,A=2$

$25$
$\underset{–}{+37}$
$\underset{–}{62}$
Addition in one's column.
Here, $B+7$ is A that is a number whose one's digit is $A$. Let us put the values of ${}^{\prime }{B}^{\prime }$ starting from $0$.
If $B=0$ then $A=7\therefore 7+6\ne 6$
If $B=1$ then $A=8\therefore 8+6\ne 6$
If $B=2$ then $A=9\therefore 9+3\ne 6$
If $B=5$ then $A=2\therefore (2+3)+1=6$
So, $B=5$ and $A=2$ satisfies the given condition.