Question

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

$AB$
$\times 6$
____________
$BBB$

• A. $A=7,B=5$
• B. $A=5,B=4$
• C. $A=7,B=4$
• D. $A=3,B=4$

Answer 1

The correct option is C $A=7,B=4$

To find values of $A$ and$B$, it must satisfy
$B\times 6=B$
Thus, $B$ can be either of $2,4,6,8$

Hence, by hit and trial,
If $B=2$, then $A2=\frac{222}{6}orA2=37$, which does not satisfy the condition
If $B=4$, then $A4=\frac{444}{6}orA4=74$, which satisfies the condition
If $B=6$, then $A6=\frac{666}{6}orA6=111$, which does not satisfy the condition
If $B=8$, then $A8=\frac{888}{6}orA2=148$, which does not satisfy the condition
Therefore, $A=7$ and $B=4$

option C