In The Golden Age B-School’ there are 15 faculty members. Whenever a faculty attains the age of 60 in a particular year, he retires at the end of the year and is replaced by new recruit from the start of the New Year. During the year 2005, the average age of the faculty members was 48 years and three faculty members reached 60 year that year. At the start of 2006, they were replaced with three new members whose average age was 36 years. Find the average of the ages of the faculty in the year 2006.
Answers
Given : In The Golden Age B-School’ there are 15 faculty members. Whenever a faculty attains the age of 60 in a particular year, he retires at the end of the year and is replaced by new recruit from the start of the New Year.
To find : the average of the ages of the faculty in the year 2006.
Solution:
Faculty Members = 15
During the year 2005, the average age of the faculty members was 48 Years
Total age in 2005 = 15 * 48 = 720 Years
At the start of 2006, three 60 years person replaced with 36 yeas average
So Age reduces = 3 * 60 - 3 * 36 = 72 Years
For remaining 12 Faculty age increased by 1 Year from 2005 to 2006
Hence increase in age = 12 Years
So New Total age = 720 - 72 + 12 = 660 Years
Faculty = 15
average of the ages of the faculty in the year 2006. = 660/15
= 44 Years
average of the ages of the faculty in the year 2006. = 44 Years
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