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    Question

    Two numbers are in the ratio 5:12, and their least common

    multiple (LCM) is 1,440. Determine the sum of these two numbers.
    A 408 Correct Answer Incorrect Answer
    B 360 Correct Answer Incorrect Answer
    C 420 Correct Answer Incorrect Answer
    D 350 Correct Answer Incorrect Answer

    Solution

    Let the two numbers be '5h' and '12h', where 'h' is the HCF of the two given numbers.
    Product of two numbers = (Product of LCM and HCF) of the given two numbers
    5h X 12h = h X 1440
    Or, 60h = 1440
    So, 'h' = (1440/60) = 24
    Therefore, the required sum = 5h + 12h = 17h = 17 X 24 = 408

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