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    Ten years hence, the ratio of the age of A to B will be 13:10, respectively. If the difference between the present ages of A and B is 6 years, then fi
    Question


    Ten years hence, the ratio of the age of A to B will be 13:10, respectively. If the difference between the present ages of A and B is 6 years, then find B's present age (in years).

    A.

    20

    B.

    10

    C.

    26

    D.

    16

    E.

    8

    Correct option is B

    Let the age of A and B after ten years be 13x and 10x respectively.
    ATQ,
    (13x-10)-(10x-10)=6
    3x=6
    x=2
    Required age = 10x-10=20-10=10 years
    Alternate solution,
    The difference between age of any person is always same.
    So,
    13x – 10x = 6
    3x = 6
    2 = x
    Age of B = 10x – 10 = 10 years

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