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    Question

    The sum of the digits of a

    two-digit number is 12, and the tens digit is twice the units digit. Determine the HCF of this number and the number formed by reversing its digits.
    A 20 Correct Answer Incorrect Answer
    B 12 Correct Answer Incorrect Answer
    C 19 Correct Answer Incorrect Answer
    D 27 Correct Answer Incorrect Answer

    Solution

    ATQ, Let the tens and unit digit of the number be 2n and n respectively. According to the question: 2n + n = 12 n = 4 Number = 84 = 1 × 2 2  × 3 × 7 Number obtained after revering its digits = 48 = 1 × 24  * 3 HCF of 84 and 48 = 2 2  × 3 = 12

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