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    Question

    The denominator of a rational number is 5 more than its

    numerator. If the numerator is increased by 12 and the denominator is decreased by 4, the resulting number is 4/3. Find the rational number.
    A 32/37 Correct Answer Incorrect Answer
    B 29/37 Correct Answer Incorrect Answer
    C 30/37 Correct Answer Incorrect Answer
    D 35/37 Correct Answer Incorrect Answer

    Solution

    ATQ, Let the numerator of the rational number be x. Then the denominator will be x+5. The rational number is = [x/(x+5)] According to the question: Cross-multiply: Expand: Simplify: Thus, the numerator is 32, and the denominator is: x+5 = 32+5 = 37 Therefore, the rational number is (32/37)

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