Question

Find the value of A in the following and give reasons for the steps involved.

$AB$
$+37$
__________
$6A$

• A. $A=2,B=1$
• B. $A=4,B=5$
• C. $A=2,B=5$
• D. $A=2,B=2$

Answer 1

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

$AB$
$+37$
___________
$6A$

This question can be solved by hit and trial method. We, know, $A+3=6$ or $A+3+1=6$
Thus, $A$ can be $2$, or $3$
and, units digit of $B+7$ must be equal to $A$
Hence, when $A$ = $2$, $B$ = $5$; and when $A$ = $3$, $B$ = $6$;
But None of the options have $A=3$. So, $A=2$.

Put $A=2$, to get $B=5$ or $B=7$.

But $A=2$ and $B=7$ does not satisfy the conditions.

Thus, $A=2,B=5$
Verifying $25+37=62$ which is the answer.