Question
The digits of a two-digit number βNβ are reversed to
form a new number βMβ. If M < N and N β M = 27, then which of the following maybe βNβ?Solution
ATQ, For a two-digit number N = 10a + b and reversed number M = 10b + a, N - M = 9(a - b) Given N - M = 27, 9(a - b) = 27 a - b = 3 So the tens digit must be 3 more than the units digit. Check options: 52 -> 5 - 2 = 3 β 47 -> 4 - 7 = -3 β 33 -> 3 - 3 = 0 β 27 -> 2 - 7 = -5 β Correct answer: 52
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