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    Question

    The sum of two numbers is 60 whereas the sum of their

    reciprocals is (20/9). Find the square of the product of the two numbers.
    A 210 Correct Answer Incorrect Answer
    B 144 Correct Answer Incorrect Answer
    C 169 Correct Answer Incorrect Answer
    D 729 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the two numbers be 'r' and 's'.

    So, r + s = 60

    And (1/r) + (1/s) = (20/9)

    Or, {(r + s)/(rs)} = (20/9)

    Or, rs = (9/20) × 60 = 27

    So, required square = 27² = 729

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