Hi,
Average age of students of an adult school is 40 years.
Let x represent the total number of these students,
40x would be their Total Ages.
120 new students whose average age is 32 years joined the school
would be their Total Ages
As a result the average age is decreased by 4 years.
Question states***
40x + 3840 = 36(x+120)
4x = 480
x = 120 students originally, Now 240 students.
CHECKING our Answer***