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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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Q: Average age of students of an adult school is 40 years One hundred and twenty new students whose average age is 32 years join the school This causes the average age of the school to be reduced by 4?
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