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    Question

    Ratio of two numbers 7:11 and their LCM is 1540. Find

    the sum of the given two numbers.
    A 340 Correct Answer Incorrect Answer
    B 360 Correct Answer Incorrect Answer
    C 380 Correct Answer Incorrect Answer
    D 400 Correct Answer Incorrect Answer

    Solution

    Let the two numbers be '7h' and '11h', where 'h' is the HCF of the two given numbers. Product of two numbers = (Product of LCM and HCF) of the given two numbers 7h × 11h = h × 1540 Or, 77h = 1540 So, 'h' = (1540 / 77) = 20 Therefore, the required sum = 7h + 11h = 18h = 18 × 20 = 360 Hence, option b

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