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    Question

    Ratio of two numbers 6:13 and their LCM is 1950. Find

    the sum of the given two numbers.
    A 450 Correct Answer Incorrect Answer
    B 460 Correct Answer Incorrect Answer
    C 475 Correct Answer Incorrect Answer
    D 490 Correct Answer Incorrect Answer

    Solution

    Let the two numbers be '6h' and '13h', where 'h' is the HCF of the two given numbers. Product of two numbers = (Product of LCM and HCF) of the given two numbers 6h × 13h = h × 1950 Or, 78h = 1950 So, 'h' = (1950 / 78) = 25 Therefore, the required sum = 6h + 13h = 19h = 19 × 25 = 475 Hence, option c

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