SOLUTION: John is 4 years older than Kate. In 7 years he will be twice as old as Kate was five years ago. What are their ages now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: John is 4 years older than Kate. In 7 years he will be twice as old as Kate was five years ago. What are their ages now?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 575077: John is 4 years older than Kate. In 7 years he will be twice as old as Kate was five years ago. What are their ages now?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let J = John's present age and K = Kate's present age.
J = K+4 "John is 4 years older than Kate."
J+7 = 2(K-5) Substitute J = K+4.
K+4+7 = 2K-10
K+11 = 2K-10
K = 21 and J = 25