Question

Find the value of the letters in the following question.

   A  B
× A  B
6 A  B

Answer 1

               A  B
Given, × A  B
            6 A  B 

i.e. AB × AB = 6AB   ...(i)

Here, B × B is a number whose unit’s digit is B.

Therefore, B = 1 or 5   

Again, AB × AB = 6AB   ...[∵ B ≠ 0, else AB × A ≠ 6A]

⇒ The square of a two-digit number is a three-digit number.

So, A can take values 1, 2 and 3.

For A = 1, 2, 3 and B = 1, equation (i) is not satisfied.

Now, for A = 1, B = 5, equation (i) is not satisfied.

We find that A = 2, B = 5 satisfies the equation (i).

Hence, A = 2, B = 5