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    Question

    The HCF and LCM of 2 numbers are 2 and 60 respectively.

    If one of the numbers is 14 more than the other, find the smaller number.
    A 7 Correct Answer Incorrect Answer
    B 4 Correct Answer Incorrect Answer
    C 6 Correct Answer Incorrect Answer
    D 5 Correct Answer Incorrect Answer

    Solution

    Let the first number be 'a' and second number be 'b'. LCM ├Ч HCF = a x b ┬а 60 x 2 = (b + 14) x b 120= b┬▓ + 14b ┬а b┬▓ +14b-120 = 0 (b-6) (b+20) = 0 b = 6. The second number is 6.

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