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.

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) (Show Source): You can put this solution on YOUR website!

 

Hi,

Grace is three times as old as Hans' age 

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...

   

RELATED QUESTIONS

steve is 5 times as as old as janice in 12 years she will be twice as old as she was... (answered by mananth)
Steve is 5 times as old as Dawn. In 12 years, he will be twice as old as she will be... (answered by KlambinRonsentaswer,josgarithmetic)
mark is three times as old as jane is now. in three years, mark will be twice as old as... (answered by stanbon)
If now Lina is three times as old as Nick, and in 6 years she will be twice as old as he,  (answered by Alan3354)
Hans and Peter form a team together. Hans is as old as Peter will be when Hans is twice... (answered by Edwin McCravy)
Mrs. De Leon is three times as old as her daughter. In twelve years, she will be only... (answered by Cromlix)
Ana is three times as old as Rain. Four years form now she will be twice as old as Rain.... (answered by TutorDelphia)
Betty is now three times as old as mike,but in five years she will be only twice as old... (answered by stanbon,Natolino1983)
Rachel is now three times as old as Mike but in five years she will only be twice as old... (answered by ikleyn,addingup)