SOLUTION: A teacher has two students, one three times as old as the other. The teacher is five times as old as the older student, and in 5 years she will be five times as old as her younger

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Question 1066759: A teacher has two students, one three times as old as the other. The teacher is five times as old as the older student, and in 5 years she will be five times as old as her younger student. Find the teacher’s present age.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
t Teacher
x Younger student
y Older student

system%28y%2Fx=3%2Ct=5y%2Ct%2B5=5%28x%2B5%29%29
Several ways to go. Note that the question is , find the teacher's age.

x%2Fy=1%2F3
x=y%2F3
-
t%2B5=5%28y%2F3%2B5%29
t%2B5=5y%2F3%2B25
t=5y%2F3%2B20
-
5y=5y%2F3%2B20
15y=5y%2B60
10y=60
highlight%28y=6%29

Found y but again, question is to find t.
t=5y
t=5%2A6
highlight%28t=30%29
Teacher is 30 years old.