Mathematics

Question

Barry is 8 years older than his sister. In 3 years, he will be twice as old as she will be then. How old is each now?

1 Answer

  • Answer:

    Step-by-step explanation:

    Present age of Barry = b

    Present age of sister = s

    Barry is 8 years older than his sister means if we subtract 8 from present age of Barry both will be of equal age

    s=b-8 ............(1)

    In 3 years means we have to add 3 in their present age

    s+3=b+3

    then

    he will be twice as old as

    2(s+3)=(b+3

    2s+6=b+3

    2s=b+3-6

    2s=b-3...............(2)

    Put the value of s from (1) to (2), we have

    2(b-8)=b-3

    2b-16=b-3

    2b-b=-3+16

    b=13

    Put the value of b in (1)

    s=13-8

    s=5

    Present age of Barry = b = 13

    Present age of sister = s = 5

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