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?

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
RELATED QUESTIONS
patty is three years younger than twice peachy's age.if peachy is x years old and the sum (answered by math_helper)

The average age of two sisters is three times the age of the younger one . in seven... (answered by josgarithmetic,Glaviolette,MathTherapy)

Ana is 24 years older than twice the age of her younger sister. In ten years, their... (answered by ankor@dixie-net.com)

paula is currently 8 years younger than twice dawns age. in 4 years the differences... (answered by ankor@dixie-net.com,Alan3354)

1. A man is now 42 years old and his friend is 33 years old. How many years ago was the... (answered by ankor@dixie-net.com,Mathtut)

6.) Paul is 3 years younger than his friend Peter. In seven years, the product of their... (answered by ankor@dixie-net.com)

4. Marilyn is 3 years younger than her friend Rosie. In 7 years, the product of their... (answered by josgarithmetic)

Jess is 5 years younger then bing.Bing is twice as old as Liane. Six years ago, Bing was... (answered by josgarithmetic)

Bill is 2 years older than his brother and 5 years younger than his sister. 5 years ago... (answered by ankor@dixie-net.com)