SOLUTION: In 7 years, person a and b's age will be 3:2. If the difference of their age is 15, what are their ages now

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Question 980184: In 7 years, person a and b's age will be 3:2. If the difference of their age is 15, what are their ages now
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Using x and y instead of a and b.

x and y, current ages.
Assume y%3Ex.
In seven years, %28y%2B7%29%2F%28x%2B7%29=3%2F2.

IF y-x=15, find x and y.

system%282%28y%2B7%29=3%28x%2B7%29%2Cy=x%2B15%29, slightly adjusted system.

2y%2B14=3x%2B21
2y-3x=21-14
2y-3x=7
2%28x%2B15%29-3x=7
2x%2B30-3x=7
-x=7-30
x=30-7
highlight%28x=23%29

y=15%2B23
highlight%28y=38%29