SOLUTION: Stephen is 64 years younger than Wendy. 7 years ago, Wendy's age was 3 times Stephen's age. How old is Stephen now?

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Question 1152958: Stephen is 64 years younger than Wendy. 7 years ago, Wendy's age was 3 times Stephen's age. How old is Stephen now?
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

let Stephen's age be and Wendy's age
if Stephen is years than Wendy, we have
.....eq.1

if years ago, Wendy's age was times Stephen's age,we have
.......substitute from eq.1 and solve for






go to
.....eq.1, substitute


Stephen is old now

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Stephen is 64 years younger than Wendy. 7 years ago, Wendy's age was 3 times Stephen's age. How old is Stephen now?
This is EXTREMELY SIMPLE....much, much SIMPLER than the other person makes it out to be. Plus, the question asks for STEPHEN'S AGE, not Wendy's!

Let Stephen's age be S

Then Wendy's is: S + 64

We then get: S + 64 - 7 = 3(S - 7)

S + 57 = 3S - 21

S - 3S = - 21 - 57

- 2S = - 78

S, or  

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