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    Question

    The sum and difference of L.C.M and H.C.F of two numbers is

    216 and 184. If one of the numbers is 25, then find the other number.
    A 128 Correct Answer Incorrect Answer
    B 144 Correct Answer Incorrect Answer
    C 108 Correct Answer Incorrect Answer
    D 136 Correct Answer Incorrect Answer

    Solution

    Let the L.C.M and the H.C.F of the two numbers be 'a' and 'b' respectively

    Then, (a + b) = 216

    And (a - b) = 184

    So, (a + b) + (a - b) = 216 +184

    Or, a = 400 ÷ 2 = 200

    So, b = 216 - 200 = 16

    The product of two numbers is equal to the product of their L.C.M and H.C.F

    So, required number = (200 X 16) ÷ 25 = 128

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