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    A is two years older than B, who is twice as old as C. If the total of their ages is 32 , then what is the age of B ?
    Question

    A is two years older than B, who is twice as old as C. If the total of their ages is 32 , then what is the age of B ?

    A.

    14 years

    B.

    12 years

    C.

    7 years

    D.

    8 years

    Correct option is B

    Given:

    A is two years older than B, who is twice as old as C. If the total of their ages is 32

    Solution:

    Let be the age of C is = xx

    then age of B is =2x2x and age of A is = 2x+22x+2

    According to question:

    A+ B+C = 32

    x+2x+2x+2=32x+2x+2x+2=32 

    5x+2=325x+2=32

    5x=322=305x= 32-2=30

    x=305=6x= \frac{30}{5}=6

    So the age of B is = 2x=2×6=122x= 2\times6=12 

    Thus the correct answer is (B)

    ​​

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