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    Question

    The digits of a two-digit number ‘N’ are reversed to

    form a new number ‘M’. If M < N and N – M = 27, then which of the following maybe ‘N’?
    A 27 Correct Answer Incorrect Answer
    B 75 Correct Answer Incorrect Answer
    C 61 Correct Answer Incorrect Answer
    D 52 Correct Answer Incorrect Answer

    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 ✓ 47 -> 4 - 7 = -3 ✗ 33 -> 3 - 3 = 0 ✗ 27 -> 2 - 7 = -5 ✗ Correct answer: 52

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