SOLUTION: One year ago ruths uncle was 10 times as old as ruth was. Now ruths uncle is seven times as old as she is. How old is ruth?

Question 182583: One year ago ruths uncle was 10 times as old as ruth was. Now ruths uncle is seven times as old as she is. How old is ruth?
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
One year ago ruths uncle was 10 times as old as ruth was. Now ruths uncle is seven times as old as she is. How old is ruth
:
let ruth's and uncles ages be r and u respectively
:
u-1=10(r-1)..........eq 1
.................eq 2
:
take u's value of 7r in eq 2 and plug it into eq 1
:
7r-1=10(r-1)
:
7r-1=10r-10
:
3r=9
:
ruth's age
:
uncle's age
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