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?
Mathematics
bellabeautz
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

1. User Answers sofiabella1011
Answer:
Stepbystep 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=b8 ............(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+36
2s=b3...............(2)
Put the value of s from (1) to (2), we have
2(b8)=b3
2b16=b3
2bb=3+16
b=13
Put the value of b in (1)
s=138
s=5
Present age of Barry = b = 13
Present age of sister = s = 5