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

Question 937491: 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 TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = mary age now
y = peter age now
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x = (2/3)y
x - 2 = (1/2)(y + 5)
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x - 0.666666666y = 0
x - 2 = (1/2)y + 5/2
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x - 0.666666666y = 0
x - (1/2)y = 5/2 + 2
---
x - 0.666666666y = 0
x - 0.5y = 4.5
---
put the system of linear equations into standard form
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x - 0.666666666y = 0
x - 0.5y = 4.5
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = mary age now = 18
y = peter age now = 27
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