The average age of a football team of 9 players is 29 years. When 3 more players are included in the team, the average age becomes 28 years. What is the average age (in years) of the three new players?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 25
The total age is the average multiplied by the number of players. The new total minus the old total is the total age of the three new players.
Total age of 9 players \(=9\times29=261\) years
Total age of 12 players \(=12\times28=336\) years
Total age of the 3 new players \(=336-261=75\) years
\(\displaystyle \text{Their average}=\frac{75}{3}=25\) years
The average age of the three new players is 25 years.