Question
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A two-digit number is such that the product of its digits is 8. When 18 is added to the number, its digits are reversed. The number is:
Correct Option:
B
Explanation
Let the number be 10x + y. Its reverse is 10y + x.
10y + x - (10x + y) = 18
9(y - x) = 18, so y - x = 2.
Also, xy = 8. The digits satisfying both conditions are 2 and 4, giving 24. Indeed, 24 + 18 = 42.
