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    Question

    Ratio of two numbers 10:21 and their LCM is 2520. Find

    the sum of the given two numbers.
    A 360 Correct Answer Incorrect Answer
    B 372 Correct Answer Incorrect Answer
    C 380 Correct Answer Incorrect Answer
    D 400 Correct Answer Incorrect Answer

    Solution

    Let the two numbers be '10h' and '21h', where 'h' is the HCF of the two given numbers. Product of two numbers = (Product of LCM and HCF) of the given two numbers 10h × 21h = h × 2520 Or, 210h = 2520 So, 'h' = (2520 / 210) = 12 Therefore, the required sum = 10h + 21h = 31h = 31 × 12 = 372 Hence, option b

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