SOLUTION: stefan is 14 years old. his mother is 38. how many years ago was the mother exactly 5 times as old as stefan?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: stefan is 14 years old. his mother is 38. how many years ago was the mother exactly 5 times as old as stefan?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 939393: stefan is 14 years old. his mother is 38. how many years ago was the mother exactly 5 times as old as stefan?
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
stefan is 14 years old. his mother is 38
assume t years ago,age of mother exactly 5 times as of stefan
t yeas ago, stefan age = 14-t
t years ago, mother's age = 38-t
38-t= 5*(14-t)
38-t= 5*14-5*t
38-t= 70 -5t
add 5t on both sides
38-t+5t =70-5t+5t
38+4t =70
move 38 to the right
4t =70- 38
4t = 32
divide with 4 on both sides
+4t%2F4++=32%2F4
t=8 tears
Result : t = 8 years