In a class there are 16 students whose average is decreased by 3 months, when 2 students aged 24 and 26 years respectively are replaced by the same number of students. Find the average age of the new students?
Answers
Given : In a class there are 16 students whose average is decreased by 3 months, when 2 students aged 24 and 26 years respectively are replaced by the same number of students.
To Find : the average age of the new students
Solution:
Let say the average age of the new students = X years
2 Students are replaced hence number of new students = 2
Age of 2 new students = 2X years
Earlier Average = A years
Students = 16
Total age = 16A years
New total Age = 16A - 24 - 26 + 2X
= 16A + 2X - 50 Years
New Average = A - 3/12 = A - 1/4 years (∵ average is decreased by 3 months)
=> 16(A - 1/4) = 16A + 2X - 50
=> 16A - 4 = 16A + 2X - 50
=> 2X = 46
=> X = 23
the average age of the new students = 23 years
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