SOLUTION: adam is 5 year younger than eve. in one year eve will be three times the age of adam was four years ago. how old is adam? how old is eve?

Question 174820: adam is 5 year younger than eve. in one year eve will be three times the age of adam was four years ago. how old is adam? how old is eve?
Answer by actuary(112) (Show Source): You can put this solution on YOUR website!
Let x = Adam's current age
Let y = Eve's current age
So currently, x = y-5
In one year, y+1=3*(x-4)
Rearranging the equations we have
-y+x=-5
y-3*x=-1-12=-13
So the two equations are
-y+x=-5 (Equation #1)
y-3*x=-13 (Equation #2)
Add the two equations to eliminate "y"
-y+y+x-3*x=-5-13
-2*x = -18
Therefore, x = 9
Substituting x = 9 into equation #2
y -3*x = -13 (Solve for y)
y -3*9 = -13 Set x = 9
y -27 = -13
Therefore, y=14
Using the graphical method as a check

RELATED QUESTIONS
Adam is 5 years younger than Eve. In 1 year, Eve will be three times as old as Adam was 4 (answered by drk)

adam is 5 years younger than eve. in 1 year , eve will be three times as old as adam wsa... (answered by drj)

How do i solve using a system of two equations in two variables? Adam is 5 years... (answered by Edwin McCravy)

1. Four years ago, Katie was twice as old as Anne was then. In 6 years, Anne will be... (answered by ankor@dixie-net.com)

Adam is 5 years younger than Eve. In 1 year, Even will be three times as old as Adam was... (answered by checkley71)

Adam is 5 years younger than Eve. In 1 year, Eve will be 3 times as old as Adam was 4... (answered by mananth)

Adam is 8 years older than eve. 17 years ago Adam was twice older than eve. In how many... (answered by ankor@dixie-net.com)

Adam is three years younger than Jenn. In one year Jenn will be 3 times as old as Adam... (answered by justasking)

In 2003, Adam was 24 years old. In 2006 Adam will be three times as old as eve. How old... (answered by addingup)