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    Question

    Ratio of two numbers 5:9 and their LCM is 1260. Find

    the sum of the given two numbers.
    A 380 Correct Answer Incorrect Answer
    B 392 Correct Answer Incorrect Answer
    C 400 Correct Answer Incorrect Answer
    D 420 Correct Answer Incorrect Answer

    Solution

    Let the two numbers be '5h' 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 5h × 9h = h × 1260 Or, 45h = 1260 So, 'h' = (1260 / 45) = 28 Therefore, the required sum = 5h + 9h = 14h = 14 × 28 = 392 Hence, option b

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