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    Question

    If 16 times a number is subtracted from the square of

    the number and then 64 is added to the result, then the result is zero. Find the L.C.M of the number and 20.
    A 40 Correct Answer Incorrect Answer
    B 80 Correct Answer Incorrect Answer
    C 60 Correct Answer Incorrect Answer
    D 120 Correct Answer Incorrect Answer

    Solution

    Let the number be 'x' According to the question, x2 - 16x + 64 = 0 Or, x2 - 8x - 8x + 64 = 0 Or, x(x - 8) - 8(x - 8) = 0 Or, (x - 8)(x - 8) = 0 So, x = 8 L.C.M of 8 and 20 = 40

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