SOLUTION: Five years ago, a grandmother was 4 times as old as her grandson was. Three years from now, she will only be 3 times as old as her grandson will be then. How old is the grandson no

Question 1046041: Five years ago, a grandmother was 4 times as old as her grandson was. Three years from now, she will only be 3 times as old as her grandson will be then. How old is the grandson now?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let g = grandmother's age now
lets = grandson's age
:
Write an equation for each statement,simplify as much as possible
:
Five years ago, a grandmother was 4 times as old as her grandson was.
g-5 = 4(s-5)
g- 5 = 4s - 20
g = 4s - 20 + 5
g = 4s - 15
Three years from now, she will only be 3 times as old as her grandson will be then.
g + 3 = 3(s+3)
g + 3 = 3s + 9
g = 3s + 9 - 3
g = 3s + 6
:
How old is the grandson now?
g = g, therefore
4s - 15 = 3s + 6
4s - 3s = 15 + 6
s = 21 is the grandson's present age
:
:
You can check this for yourself, find grandma's age and check it in one of the two statement.
RELATED QUESTIONS
6 years ago, rosa was 4 times as old as her daughter. 10 years from now, she will be only (answered by mananth)

Four years ago, Gina was 3 times as old as her friend Coleen. Five years from now, she... (answered by ikleyn)

Two years ago a woman was 4 times as old as her daughter. Three years from now the mother (answered by macston)

six years ago, rosa was four times old as her daughter. Ten years from now, she will be... (answered by mananth)

Sandra is 63 years older than her grandson. Five years ago, she was 4 times as old as he... (answered by ikleyn,josgarithmetic,ankor@dixie-net.com,MathTherapy)

A mother is now four times as old as her daughter, three years ago, she was five times as (answered by Timnewman)

1.Two years ago, Zarah was three times as old as her nephew was then.In five years, she... (answered by josgarithmetic)

A year ago a mother was four times as old as her daughter. Three years ago she was five... (answered by ankor@dixie-net.com)

Five years from ago, Zack was three times as old Aaron. Five years from now, Zack will be (answered by lwsshak3)