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    Question

    The square of sum of two numbers is 9,801 and the sum of

    squares of the same two numbers is 5,265. If their H.C.F. is 9, then find their L.C.M.
    A 189 Correct Answer Incorrect Answer
    B 252 Correct Answer Incorrect Answer
    C 315 Correct Answer Incorrect Answer
    D 225 Correct Answer Incorrect Answer

    Solution

    Let the two numbers be 'a' and 'b'

    We have, (a + b)² = 9801
    And, a² + b² = 5265

    (a + b) ² = a² + b² + 2ab = 5265 + 2ab

    Or, 2ab = 9801 - 5265 = 4536

    So, ab = 4536/2 = 2268

    Therefore, L.C.M = 2268 / 9 = 252

    Hence, option B.

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