Answer : Option A

Explanation :

Number of members in the team = 11
Let the average age of of the team = x
$MF#%\text{=>}\dfrac{\text{Sum of the ages of all the 11 members of the team}}{11} = x$MF#%
=> Sum of the ages of all the 11 members of the team = 11x
Age of the captain = 26
Age of the wicket keeper = 26 + 3 = 29
Sum of the ages of 9 members of the team excluding captain and wicket keeper
= 11x - 26 - 29 = 11x - 55
Average age of 9 members of the team excluding captain and wicket keeper
$MF#%= \dfrac{11x - 55}{9}$MF#%
$MF#%\text{Given that }\dfrac{11x - 55}{9} = (x - 1)$MF#%
=> 11x - 55 = 9(x - 1)
=> 11x - 55 = 9x - 9
=> 2x = 46
$MF#%=> x = \dfrac{46}{2} = 23\text{ years}$MF#%