SOLUTION: please help me to solve this age problem: Alice is 8/3 as old as her daughter in 4 years. Alice will be 9/4 as old as her daughter find their ages?

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Question 698308: please help me to solve this age problem:
Alice is 8/3 as old as her daughter in 4 years. Alice will be 9/4 as old as her daughter find their ages?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The problem should be
“Alice is 8/3 as old as her daughter.
In 4 years, Alice will be 9/4 as old as her daughter.
Find their ages”
x = Alice's age
y = the daughter's age
x=%288%2F3%29y because Alice is 8/3 as old as her daughter.
x=%288%2F3%29y --> 3x=8y --> 3x-8y=0
In 4 years, Alice will be x%2B4,
her daughter will be y%2B4,
and their ages will be related by the equation
x%2B4=%289%2F4%29%28y%2B4%29 --> 4%28x%2B4%29=9%28y%2B4%29 --> 4x%2B16=9y%2B36 --> 4x-9y=36-16 --> 4x-9y=20

We get the system
system%283x-8y=0%2C4x-9y=20%29
Multiplying the first equation times %28-4%29 and the second times 3 we get
system%28-12x%2B32y=0%2C12x-27y=60%29 , and adding both equations we get
5y=60 --> y=60%2F5 --> highlight%28y=12%29
Substituting into 3x=8y we get
3x=8%2A12 --> 3x=96 --> x=96%2F3 --> highlight%28x=32%29