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    Question

    Two numbers are in the ratio 2:7. The product of their

    H.C.F. and L.C.M. is 5054. The sum of the numbers is:
    A 110 Correct Answer Incorrect Answer
    B 182 Correct Answer Incorrect Answer
    C 171 Correct Answer Incorrect Answer
    D 154 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the numbers be 2x and 7x respectively. First number × second number = HCF × LCM => 2x × 7x = 5054 => x2 = [5054/(2×7)] = 361 => x = √361 = 19 Sum of the numbers = 2x + 7x = 9x = 9 × 19 = 171

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