SOLUTION: In 3 more years, x will be 6 times as old as y was last year. When y's present age is added to x's present age the total is 68. How old are they?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: In 3 more years, x will be 6 times as old as y was last year. When y's present age is added to x's present age the total is 68. How old are they?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 991344: In 3 more years, x will be 6 times as old as y was last year. When y's present age is added to x's present age the total is 68. How old are they?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation for each statement
:
In 3 more years, x will be 6 times as old as y was last year.
x + 3 = 6(y - 1)
x + 3 = 6y - 6
x - 6y = -6 - 3
x - 6y = -9
:
When y's present age is added to x's present age the total is 68.
x + y = 68
x - 6y = -9; subtract the first equation
-----------
0 + 7y = 77
y = 77/7
y = 11 yrs old
:
I'll let you find x, check the solutions in the 1st statement

How old are they?