Question

Find the values of the letters in the following and give reasons for the steps involved.
$AB\underset{–}{\times 6}\underset{–}{BBB}$

Answer 1

If $B\times 6$ has to end with $B$, then $B$ can be $2,4,8$ or $6$.

But with $B$ as $2$ and $6$, the above condition is not satisfied to arrive at a value for $A$.

If $B=4$, then $A$ has to be $7$ to give the product as $444$.

If we consider $B$ to be $8$, then $A$ has to be a two digit number to give the product as $888$.

Hence, $B=4$ and $A=7$.