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    Question

    The highest common factor (HCF) and the least common

    multiple (LCM) of two numbers add up to 680. Additionally, the LCM is 84 times the HCF. If one of the numbers is 56, what is the other number?
    A 12 Correct Answer Incorrect Answer
    B 48 Correct Answer Incorrect Answer
    C 96 Correct Answer Incorrect Answer
    D 24 Correct Answer Incorrect Answer

    Solution

    Let HCF of the number is ‘x’
    LCM = 84 × x = 84x
    So, 84x + x = 680
    85x = 680
    x = 8
    Let the other number is ‘y’
    Product of two numbers = LCM × HCF
    So, 56 × y = 84 × 8 × 8
    y = 96

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