SOLUTION: Last year, Sam was 10 year-old younger than Richard. This year, the age of Sam is three-fifth of that of Richard. How old is Sam this year?

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Question 1105081: Last year, Sam was 10 year-old younger than Richard. This year, the age of Sam is three-fifth of that of Richard. How old is Sam this year?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Last year, Sam was 10 year-old younger than Richard.
Sam will 10 yrs younger than Richard last year, and every year!
s = r - 10
or
r = s + 10
:
This year, the age of Sam is three-fifth of that of Richard.
s = 3%2F5r
multiply both sides by 5
5s = 3r
Replace r with (s+10)
5s = 3(s+10)
5s = 3s + 30
5s - 3s = 30
2s = 30
s = 30/2
s = 15 yrs old is Sam
:
:
Check this, r = 25
15 = 3%2F5*25