Question 58

The average age of an adult class is 40 years. 12 new students with an average age of 32 years join the class, thereby decreasing the average by 4 years. The original strength of the class was

Solution

Le the number of students originally in a class be n.

By averages concept, 

ΣN = 40n

Σnew = 32*12 = 384

new average = 36

ΣN + Σnew = 36(n+12)

40n + 384 = 36n + 432

4n = 48

n = 12


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