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    Question

    A number exceeds 45 times its reciprocal by 5/6. Find

    the number.
    A 5 Correct Answer Incorrect Answer
    B 10 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 18 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number be x.

    x тАУ 45/x = 5/6

    тЗТ (x┬▓ тАУ 45)/x = 5/6

    Cross-multiplying:

    6x┬▓ тАУ 270 = 5x

    тЗТ 6x┬▓ тАУ 5x тАУ 270 = 0

    Factorizing:

    6x┬▓ тАУ 30x + 25x тАУ 270 = 0

    6x(x тАУ 5) + 27(x тАУ 5) = 0

    (6x + 27)(x тАУ 10) = 0

    So, x = тАУ9/2 or x = 10

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