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    Question

    Two numbers are in the ratio 2:8. The product of their

    H.C.F. and L.C.M. is 3600. The sum of the numbers is:
    A 150 Correct Answer Incorrect Answer
    B 120 Correct Answer Incorrect Answer
    C 140 Correct Answer Incorrect Answer
    D 130 Correct Answer Incorrect Answer

    Solution

    Let the numbers be 2x and 8x respectively. First number × second number = HCF × LCM => 2x × 8x = 3600 => x2 = [3600/(2×8)] = 225 => x = √225 = 15 Sum of the numbers = 2x + 8x = 10x = 10 × 15 = 150

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