Question

Find the value of the letters in the following question: If B - A = 1 and

$AB\times 6\_\_\_\_\_\_\_\_C68$

Answer 1

We have, $AB\times 6\_\_\_\_\_\_\_\_C68$
Here, $6\times B$ is a number, whose unit's whose digit is 8. Therefore, the possible values of B are 3 and 8.
The possible values of B$\times 6$ are 18 and 48 respectively

If B = 3, then A $\times 6$ + 1 = C6.
A$\times 6$ = C5, As any value of A doesnt give 5 as unit's digit when multiplied with 6, this assumpition is wrong.

So, the possible value of B is 8
$\therefore$ B = 8 and then A = 7.
If A = 7, then ($7\times 6)+4=C646=C6\therefore C=4$
Hence, A = 7, B = 8 and C = 4