Question

A teacher is four times as old as a student. In 28 years, the student's age will be half of the teacher's age. How old are they now?

The age of the teacher is
years.
The age of the student is
years

Answer 1

Here, let the age of student be x and teacher be 4x after 28 years, the teacher is double the age of student. So the age of teacher will be 4x+28 and student will be 2(x+28)
So,
4x+28=2(x+28)
4x+28=2x+56
4x-2x=56-28
2x=28
x=14
Therefore the age of the teacher in present will be
=4x+28
=4*14+28
=84
And age of student will be:
=x+28
=14+28
=42
Hope this helps