SOLUTION: Allen is 4 yr older than his brother Randy. Three years ago, Allen was twice as old as Randy. How old is each now? Please solve using system of equations if possible please.

Question 766466: Allen is 4 yr older than his brother Randy. Three years ago, Allen was twice as old as Randy. How old is each now? Please solve using system of equations if possible please.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Allen is 4 yr older than his brother Randy. Three years ago, Allen was twice as old as Randy. How old is each now? Please solve using system of equations if possible please.
***
let x=Allen's present age
let y=Randy's present age
x=y+4
..
3 yrs ago:
x-3=Allen's age
y-3=Randy's age
x-3=2(y-3)
...
x=y+4
x-3=2(y-3)=2y-6
..
x-y=4
x-2y=-3
subtract:
y=7
x=7+4=11
..
Allen's present age=11
Randy's present age=7

RELATED QUESTIONS
Randy is 8 years old. His brother is twice as old as Randy. Randy�s sister is three years (answered by Theo,Alan3354)

Allen is 25 years older than Beth. In 10 years, Allen will be twice as old as Beth. How... (answered by greenestamps)

Erica is 7 years older than allen in 5 years time erica will twice as old as allen how... (answered by ikleyn)

Five years ago, Sean was three times as old as his brother. Today Sean is twice as old as (answered by Earlsdon)

Juan is 5 years older than his brother Carlos. Five years ago, Juan was twice as old as... (answered by Cromlix)

Erica is 7 years older than Allen. In 5 years' time Erica will be twice as old as Allen.... (answered by ikleyn)

Sam is 8 years older than his brother. Seven years ago, Sam was twice as old as his... (answered by macston)

june is 4 years older than her brother. six years ago, she was twice as old as he was.... (answered by ikleyn)

Randy is four times as old as Kenneth and Randy is 36 years older than Kenneth. 1.how... (answered by Alan3354)