The average age of a cricket team of 11 players is the same as it was 3 years back because 3 of the players whose current average age is 33 years were replaced by 3 youngsters. The average age of the newcomers is

Let original average age = a, so original sum = 11a। After 3 years, sum would be 11a + 33 (each of 11 players ages 3 years)। But 3 old players (avg 33) replaced by 3 youngsters (avg x), so current sum = 11a + 33 - 99 + 3x = 11a + 3x - 66। Given new average = a, so 11a = 11a + 3x - 66, solving: 3x = 66, x = 22 years। The team average remained same because the sum of ages of 3 old players (99) equals sum of ages of 3 new players plus the 3-year aging of remaining 8 players (24)। So new players avg = 99 - 24 / 3 = 22।