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Question
Find the value of the letters in the following question.
A B
× A B
6 A B
Solution
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
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