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    Question

    The denominator of a positive rational number is 4 more

    than its numerator. If the numerator is increased by 6 and the denominator is increased by 5, then the obtained number is 1.5 times the initial rational number. Find the sum of the numerator and the denominator of the initial rational number.
    A 37 Correct Answer Incorrect Answer
    B 29 Correct Answer Incorrect Answer
    C 40 Correct Answer Incorrect Answer
    D 15 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let, the numerator be a. So, rational number = a/(a + 4) ATQ,   Sum of the denominator and numerator  = 2a + 4 = 40

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