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    Question

    The HCF of two numbers is 84, and their LCM is 2520.

    What is the sum of the numbers?
    A 924 Correct Answer Incorrect Answer
    B 980 Correct Answer Incorrect Answer
    C 900 Correct Answer Incorrect Answer
    D 870 Correct Answer Incorrect Answer

    Solution

    Let the two numbers be 84x and 84y.
    Then,
    Product of the numbers = Product of HCF and LCM
    84x ├Ч 84y = 84 ├Ч 2520
    xy = 30
    Let x = 5 and y = 6 (As co-prime factors of 30 are 5 and 6).
    Then, the sum of the numbers is
    84 ├Ч 5 + 84 ├Ч 6 = 84 ├Ч 11 = 924

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