# The average age of a class is 20 years.If 16 students of average age 20 yrs and 6 months join the class the average will be increased by 2 months.find the strength of the class?

1
by ekalavyaachanta

## Answers

• Brainly User
2015-05-08T10:10:50+05:30
Solution:
let the initial number of students = X
Therefore , total number of Students = X + 16
According to problem ,
Average age of 16 students = 20 years and six months = 20.5 years
Average age of initial students = 20 years
and Average age of Total Students = 20 years and  2 months = 20.16 years
Hence ,
16*20.5 + X*20= (16+X)*20.16
328+ 20X = 322.66 + 20.16X
328 - 322.66 = 20.16X - 20X
5.33 = .16X
OR X = 5.33/.16
OR X = 33.33
hence X= 33 (ignoring .33)

therefore total number of students = X+16
=33+16
= 49

hope this helps you!!

pls anyone help me on this qn
mAY i KNOW THE correct answer!!
is it fifty !!!
no it is 32
initial strength 32 and total strength 48 when i'm doing alligation i'm getting this it is right ans but when i'm doing traditional method i too got 50 as ans