SOLUTION: Rose is 4/5 as old as Teena. Six years ago, she was 2/3 as old as Teena. How old are they?

Question 698737: Rose is 4/5 as old as Teena. Six years ago, she was 2/3 as old as Teena. How old are they?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Rose is 4/5 as old as Teena. Six years ago, she was 2/3 as old as Teena. How old are they?
**
let x=Teena's present age
4x/5=Rose's present age
..
6 yrs ago:
x-6=Teena's age
4x/5-6=Rose's age
Rose=2/3 of Teena's age
(4x/5)-6=(2/3)(x-6)
LCD:15
12x-90=10(x-6)
12x-90=10x-60
2x=30
x=15
4x/5=60/5=12
Teena's present age: 15
Rose's present age:12

RELATED QUESTIONS
Eunice is 4/5 as old as Denice. Six years ago, she was 2/3 as old as Denice. How old are... (answered by josgarithmetic)

1. rose is 6yrs older than her sister in four years she will be nine years more than one... (answered by ankor@dixie-net.com)

six years ago,anna is twice as old as brita. six years hence, brita will be as old as... (answered by ankor@dixie-net.com)

Robert is 4/5 as old as Joel. Four years ago, he was 3/4 as old as Joel, how old are... (answered by Edwin McCravy)

Megan is twice as old as Anne. Six years ago, Megan was 4 times as old as Anne. How old... (answered by josgarithmetic)

right now, Connie is twice as old as her brother. Six years ago, she was 4 times his age. (answered by ikleyn)

4 years ago marion was 2/3 as old as Les was. Now she is 3/4 as old as he is. How old... (answered by Maths68)

loren is 3/4 as old as Ping .four years ago, she was 4 years more than 1/2 as old as... (answered by JulietG)

Four years ago, Marion was 2/3 as old as Les was. Now she is 3/4 as old as he is. How old (answered by jorel1380)