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    Question

    Two numbers are in the ratio 3:7. The product of their

    H.C.F. and L.C.M. is 2541. 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

    Solution

    Let the numbers be 3x and 7x respectively. First number × second number = HCF × LCM => 3x × 7x = 2541 => x2 = [2541/(3×7)] = 121 => x = √121 = 11 Sum of the numbers = 3x + 7x = 10x = 11 × 10 = 110

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