# SOLUTION: X is 6 years younger than Y, and the average of their ages is twice X age 5 years ago, how old are they?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: X is 6 years younger than Y, and the average of their ages is twice X age 5 years ago, how old are they?      Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Mathway solves algebra homework problems with step-by-step help!

 Word Problems: Age Solvers Lessons Answers archive Quiz In Depth

 Question 13789: X is 6 years younger than Y, and the average of their ages is twice X age 5 years ago, how old are they?Answer by LilSkittleMd(119)   (Show Source): You can put this solution on YOUR website!First set up equations x=y-6 (x+y)/2=2x-5 Substitute "y-6" where any x's are (y-6+y)/2=2(y-6)-5 Combine like terms,distribute 2y-6/2=2y-12-5 Factor 2y-6 to cancel the 2 so there is no fraction 2(y-3)/2=2y-17 The two 2's cancel each other out so you are left with y-3=2y-17 subtract y from both sides -3=y-17 add 17 to both sides 14=y x=14-6 x=8 X is 8 years old, Y is 14 years old