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    The ratio of the present ages of Aman and Rohan is 5:6 respectively. After six years, the average of the sum of their ages is X years, and Rohan’s age
    Question

    The ratio of the present ages of Aman and Rohan is 5:6 respectively. After six years, the average of the sum of their ages is X years, and Rohan’s age four years hence is 40 years. Find the value of X.

    A.

    40

    B.

    36

    C.

    32

    D.

    44

    E.

    39

    Correct option is E

    Information Given:
    The ratio of the present ages of Aman and Rohan is 5:6 respectively.
    After six years, the average of the sum of their ages is X years.
    Rohan’s age four years hence is 40 years.
    Basic Explanation:
    Let the present ages of Aman and Rohan be 5a and 6a respectively
    6a + 4 = 40
    6a = 36
    a = 6
    Present age of Aman = 5a = 30
    Present age of Rohan = 6a = 36
    ATQ,
    30+6+36+62=X\frac{30 + 6 + 36 + 6}{2} = X
    39 = X

    Exam Hall Method:

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