In the multiplication table A8 × 3B = 2730, A and B represent distinct digits different from 0. Find A + B.
We have been given, A8 × 3B = 2730
What should be multiplied to 8 that gives 0 in the end digit.
We know, 8 × 0 = 0 and 8 × 5 = 40.
But B ≠ 0, so B = 5.
Now, we have
A8 × 35 = 2730
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⇒ A8 = 78
Comparing the left side and right side in the equation, we get
A = 7
Thus, A = 7 and B = 5.
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