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    Question

    Ratio of two numbers 4:9 and their LCM is 1620. Find

    the sum of the given two numbers.
    A 520 Correct Answer Incorrect Answer
    B 560 Correct Answer Incorrect Answer
    C 585 Correct Answer Incorrect Answer
    D 600 Correct Answer Incorrect Answer

    Solution

    Let the two numbers be '4h' and '9h', where 'h' is the HCF of the two given numbers. Product of two numbers = (Product of LCM and HCF) of the given two numbers 4h × 9h = h × 1620 Or, 36h = 1620 So, 'h' = (1620 / 36) = 45 Therefore, the required sum = 4h + 9h = 13h = 13 × 45 = 585 Hence, option c

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