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    Question

    The total and the difference of L.C.M and H.C.F of two

    numbers are 432 and 96. If one of the numbers is 24, what is the other number?
    A 1848 Correct Answer Incorrect Answer
    B 1744 Correct Answer Incorrect Answer
    C 1639 Correct Answer Incorrect Answer
    D 1826 Correct Answer Incorrect Answer

    Solution

    ATQ,

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

    Then, (a + b) = 432

    And (a - b) = 96

    So, (a + b) + (a - b) = 432 + 96 = 528

    Or, a = 528 ÷ 2 = 264

    So, b = 432 - 264 = 168

    The product of two numbers is equal to the product of their L.C.M and H.C.FSo, required number = (264 × 168) ÷ 24 = 1848

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