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    Question

    Two numbers add up to 18, and the

    sum of their reciprocals is 5/2. Calculate the square of the product of the two numbers.
    A (1296/25) Correct Answer Incorrect Answer
    B (1096/25) Correct Answer Incorrect Answer
    C (1266/25) Correct Answer Incorrect Answer
    D (1290/25) Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the two numbers be 'a' and 'b'. From the problem: Using the formula:

    Rearranging:

    The square of the product is:

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