The average age of a board of 8 functional directors in a company is the same as it was 3 years ago, a younger man having been substituted for one of the directors. How much younger was the new man than the director whose place he took. Choose the correct choice from the following answers
A) 24 years  B) 26 years  C) 28 years  D) 27 years  E) None of the above
Let the new man was younger than the director = x years and 3 years ago, the sum of ages of board of directors   = S – 8 × 3 = S – 24   Then, 3 years ago, average age of board of directors   = S−24/8   Now, S−24/8=S−x/8   ⇒ x = 24 years   Shortcut Method : If the new young director would have been not substituted, then total age would have increased at present by 8 × 3 = 24 years.   Therefore, the new man is 24 years younger keeping the average at present same as 3 years ago.   24 yearsnswer 24 years
<result>A</result>
The average age of a board of 8 functional directors in a company is the same as it was 3 years ago, a younger man having been substituted for one of the directors. How much younger was the new man than the director whose place he took.