SOLUTION: Aris is three years older than Rosie. In seven years, Aries will be twice as old as Rosie was five years ago. How old are they now?

Question 211184: Aris is three years older than Rosie. In seven years, Aries will be twice as old as Rosie was five years ago. How old are they now?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let A = Aris' age now and R = Rosie's age now.
1) A = R+3 "Aris is three years older than Rosie."
2) A+7 = 2(R-5) "In seven years, Aris will be twice as old as Rosie was five years ago."
Substitute A = R+3 into equation 2) and solve for R.
(R+3)+7 = 2(R-5) Simplify.
R+10 = 2R-10 Subtract R from both sides.
10 = R-10 Add 10 to both sides.
20 = R
Rosie is 20 years old.
A = R+3
A = 23
Aris is 23 years old.
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