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    Question

    Ratio of two numbers 9:16 and their LCM is 2880. Find

    the sum of the given two numbers.
    A 460 Correct Answer Incorrect Answer
    B 480 Correct Answer Incorrect Answer
    C 500 Correct Answer Incorrect Answer
    D 520 Correct Answer Incorrect Answer

    Solution

    Let the two numbers be '9h' and '16h', where 'h' is the HCF of the two given numbers. Product of two numbers = (Product of LCM and HCF) of the given two numbers 9h × 16h = h × 2880 Or, 144h = 2880 So, 'h' = (2880 / 144) = 20 Therefore, the required sum = 9h + 16h = 25h = 25 × 20 = 500 Hence, option c

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