SOLUTION: Grace is three times as old as Hans, but in 5 years she will be twice as old as Hans is then. How old are they now? Set up and then solve a system of linear equations.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Grace is three times as old as Hans, but in 5 years she will be twice as old as Hans is then. How old are they now? Set up and then solve a system of linear equations.      Log On


   

Question 624745: Grace is three times as old as Hans, but in 5 years she will be twice as old as Hans is then. How old are they now? Set up and then solve a system of linear equations.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Grace is three times as old as Hans' agehighlight%28x%29 

but in 5 years she will be twice as old as Hans is then.

Question states*** 5 years from now...

  3x + 5 = 2(x+5)

    x = 5, hans' age, Grace is 15.

and..

CHECKING our Answer*** 5 years from now...

  20+=+2%2A10