The average age of a football team of 9 players is 29 years. If 3 more players are included in the team the average becomes 28 years, then the average age (in years) of the three included players is?
Answer & explanation
Correct answer: option 4
Average age of 9 players = 29
Total age of 9 players = 29 x 9
Average age of 12 players = 28
Total age of 12 players = 28 x 12 = (29 - 1) x 12 = (29 x 12) - 12
So,
Total age of 3 new players = Total age of 12 players - Total age of 9 players
= (29 x 12) - 12 - (29 x 9)
= (29 x 3) - 12
= 87 - 12 = 75
Hence, Avg. age = \(\frac{75}{3}\) = 25