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let the number of students be x. The sum of all their ages = 40x
120 joined
total is x+120
The sum of all their ages = 40x+ 120*32
=40x + 3840
average age now is 36
40x+3840 / x+120 =36
40x+3820 = 36(x+120)
40x+3840 =36x + 4320
40x-36x= 4320-3840
4x= 480
x= 120
initially there were 120. 120 joined. so total isd 240 students
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