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    Question

    If a positive number is decreased by 5, then it becomes

    equal to the 24 times of the reciprocal of the original number. What is the original number?
    A 3 Correct Answer Incorrect Answer
    B 4 Correct Answer Incorrect Answer
    C 5 Correct Answer Incorrect Answer
    D 8 Correct Answer Incorrect Answer

    Solution

    Let the positive number be x. x тАУ 5 = 24/x x2 тАУ 5x тАУ 24 = 0 x2 тАУ 8x + 3x тАУ 24 = 0 x(x тАУ 8) + 3(x тАУ 24) = 0 (x + 3)(x тАУ 8) = 0 x = -3, 8 x = 8

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