SOLUTION: Mary's age is 2/3 that of Peter's. Two years ago Mary's age was 1/2 of what Peter's age will be in 5 years' time. how old is Peter now?

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Question 521991: Mary's age is 2/3 that of Peter's. Two years ago Mary's age was 1/2 of what Peter's age will be in 5 years' time. how old is Peter now?
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Mary's age is 2/3 that of Peter's. Two years ago Mary's age was 1/2 of what Peter's age will be in 5 years' time. how old is Peter now?
**
let x=Peter's age now
2x/3=Mary's age now
two years ago, Mary's age=(2x/3)-2=(2x-6)/3
5 years from now, Peter's age=(x+5)
..
((2x-6)/3)/(x+5)=1/2
(2x-6)/3(x+5)=1/2
4x-12=3x+15
x=27
ans:
Peter's age now=27

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