Question

    The denominator of a rational number is 4 more than its numerator. If the numerator is increased by 5 and the denominator is decreased by 3, we obtain 3. The rational number is

    A 3/7 Correct Answer Incorrect Answer
    B 2/9 Correct Answer Incorrect Answer
    C 3/5 Correct Answer Incorrect Answer
    D 1/5 Correct Answer Incorrect Answer

    Solution

    ATQ, Let the numerator of the number = b Denominator = b+4 The number is = (b/b+4) Now, [(b+5)/(b+4-3)] = 3 [(b+5)/(b+1)] = 3 b+5 = 3b+3 2b = 2 b = 1 ∴ The required fraction =[(b)/(b+4)] = 1/5

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