SOLUTION: Average age of students of an adult school is 40 years. 120 new students whose average age is 32 years joined the school. As a result the average age is decreased by 4 years. Find

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Question 814690: Average age of students of an adult school is 40 years. 120 new students whose average age is 32 years joined the school. As a result the average age is decreased by 4 years. Find the number of students of the school after joining of the new students
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
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
+120%2A32+=+3840 would be their Total Ages
As a result the average age is decreased by 4 years.
Question states***
+%2840x+%2B+3840%29%2F%28x+%2B+120%29+=+36
40x + 3840 = 36(x+120)
4x = 480
x = 120 students originally, Now 240 students.
CHECKING our Answer***
%28120%2A40+%2B+120%2A32%29%2F240+=+8640%2F240+=+36+