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    Question

    The sum of two numbers is 90 whereas the sum of their

    reciprocals is (30/11). Find the square of the product of the two numbers.
    A 2100 Correct Answer Incorrect Answer
    B 1089 Correct Answer Incorrect Answer
    C 1600 Correct Answer Incorrect Answer
    D 1200 Correct Answer Incorrect Answer

    Solution

    ATQ,

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

    So, x + y = 90

    And (1/x) + (1/y) = (30/11)

    Or, {(x + y)/(xy)} = (30/11)

    Or, xy = (11/30) × 90 = 33

    So, required square = 33² = 1089

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