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    The ratio of present age of A and B is 2 : 3 respectively and A is 12 years elder than C. 12 years ago, the age of C was 50% of the age of A that time
    Question



    The ratio of present age of A and B is 2 : 3 respectively and A is 12 years elder than C. 12 years ago, the age of C was 50% of the age of A that time. Find the present age of B (in years)?

    A.

    36

    B.

    40

    C.

    48

    D.

    32

    E.

    54

    Correct option is E

    12 years ago, let age of A = 2x years
    And, age of C = 2x ×50/100=x years
    Difference always remains same between age of A and C
    So, 2x -x = 12
    x = 12
    Present age of A = 2×12+12=36 years
    Present age of B = 36 ×3/2=54 years

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