SOLUTION: The average age of a 10 member committee is exactly the same today, as it was 4 years ago. This is because one old member died, and had to be replaced by a younger member. What was

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Question 629893: The average age of a 10 member committee is exactly the same today, as it was 4 years ago. This is because one old member died, and had to be replaced by a younger member. What was the age difference between the old member who died, and the young member?
Answer by Charles3475(23) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the ages of the 10 members 4 years ago equals the sum of the ages of the 10 members today.

The 10 members of the committe aged by 4 years for a total of 4*10 = 40 years.

The new member needs to be 40 years younger.

Change in age: 4*10 - x = 0 ; where x is the number of years younger the new member is compared to the old member.