SOLUTION: a teacher is four times as old as a student. in 16 years, the students age will be half of the teachers age. how old are they now?

Question 741287: a teacher is four times as old as a student. in 16 years, the students age will be half of the teachers age. how old are they now?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = teacher's age
Let = student's age
= teacher's age in years
= student's age in years
----------------------
(1)
(2)
-----------------------------
This is 2 equations and 2 unknowns, so it's solvable
(1)
Substitute (1) into (2)
(2)
Multiply both sides by
(2)
(2)
(2)
(2)
and, since
(1)
(1)
(1)
The teacher is 32 and the student is 8
check:
(2)
(2)
(2)
(2)
OK

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