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?

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