Answer:
After 15 years both the colleges will have same number of students.
Step-by-step explanation:
The enrollment at sunshine College has been increased by 45 students per year. Currently, sunshine College has 1100 students attending.
So, after x years the number of students of this college will be (1100 + 45x).
Again, Marigold college currently has 2000 students, but its enrollment is decreasing in size by an average of 15 students per year.
So, after x years the number of students of this college will be (2000 - 15x).
If those two colleges have the same number of students after x years, then we can write
1100 + 45x = 2000 - 15x
⇒ 60x = 900
⇒ x = 15 years.
Therefore, after 15 years both the colleges will have the same number of students. (Answer)