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    Question

    The sum of two numbers is 30 whereas the sum of their

    reciprocals is (12/5). Find the square of the product of the two numbers.
    A 510/4 Correct Answer Incorrect Answer
    B 450/3 Correct Answer Incorrect Answer
    C 625/4 Correct Answer Incorrect Answer
    D 540/11 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the two numbers be 'x' and 'y'.

    So, x + y = 30

    And (1/x) + (1/y) = (12/5)

    Or, {(x + y)/(xy)} = (12/5)

    Or, xy = (5/12) × 30 = (25/2)

    So, required square = (25/2)² = (625/4)

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