The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
23 years
24 years
25 years
None of these
Explanation:
Let the average age of the whole team by $ x $ years.
$\therefore 11 x - (26 + 29) = 9\left( x -1 \right)$
$\Rightarrow$ 11$ x $ - 9$ x $ = 46
$\Rightarrow$ 2$ x $ = 46
$\Rightarrow x $ = 23.
So, average age of the team is 23 years.