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    A father is 3 times as old as his son today. After 13 years the father will be twice as old as his son. The present age of the son is:
    Question

    A father is 3 times as old as his son today. After 13 years the father will be twice as old as his son. The present age of the son is:

    A.

    8 years


    B.

    13 years

    C.

    None

    D.

    12 years

    Correct option is B

    Given:

    The father's age today = 3 times the son's age.

    After 13 years, the father's age will be twice the son's age.

    ​Solution:

    Let the present age of the son be x years.
    Then, the father's present age = 3x years.

    After 13 years, their ages will be:

    Son's age = x+13

    Father's age = 3x+13

    According to the given condition:

    3x+13=2(x+13)

    3x+13=2x+26

    3x - 2x = 26 – 13

    x=13

    Present age of the son = 13 years.

    Option (B) is right.

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