Question

Find A, B, C in the adjacent multiplication table.

Answer 1

Since the product has A at thousand place, A = 1

Now, B + C = 6 or 16 and B + 1 = C or B + 1 + 1 = C

∴ C − B = 1 or C − B = 2

If C + B = 6 and C − B = 1, there is no solution.

If C + B = 6 and C − B = 2, C = 4 and B = 2.

However, these values don’t satisfy the multiplication table.

Now, if C + B = 16 and C − B = 1, there is no solution.

Let C + B = 16 and C − B = 2.

Then, C = 9 and B = 7

Here, B = 7 and C = 9 satisfy the multiplication table.

Hence, B = 7 and C = 9.