SOLUTION: Michael is 15 years older than his brother Rafael. However, y years ago Michael was twice as old as Rafael. If Rafael is now x years old and x > y, what is the value of x-y?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Michael is 15 years older than his brother Rafael. However, y years ago Michael was twice as old as Rafael. If Rafael is now x years old and x > y, what is the value of x-y?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 713078: Michael is 15 years older than his brother Rafael. However, y years ago Michael was twice as old as Rafael. If Rafael is now x years old and x > y, what is the value of x-y?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Michael is 15 years older than his brother Rafael.
However, y years ago Michael was twice as old as Rafael.
If Rafael is now x years old and x > y, what is the value of x-y?
:
" Michael is 15 years older than his brother Rafael." Rafael is x
m = x + 15
:
"y years ago Michael was twice as old as Rafael."
m - y = 2(x - y)
m - y = 2x - 2y
m = 2x - 2y + y
m = 2x - y
Replace m with (x+15)
x + 15 = 2x - y
15 = 2x - x - y
15 = x - y