The captain of a cricket team of 11 players is 25 years old and the wicket-keeper is 3 years older. If the age of these two players are replaced by that of another two players, the average of the cricket team drops by 2 years. Find the average age of these two players.

Let average of team = x years

Then, 25 + 28 + S₉ = 11x … (i)

where S₉ is the sum of ages of remaining players

Also, Np + S₉ = 11(x – 2) , … (ii)

where Np is the sum of ages of new players

(i) – (ii) ⇒ 53 – Np = 22 ⇒ Np = 31

∴ Average age of new two players