The average age of the 11 players of a cricket team decreases by 2 months when two players aged 27 years and 31 years are replaced by two new players. What is the average age of the two new players?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 28 years 1 month
When the average of 11 players falls by 2 months, the total age of the team falls by \(11\times2\) months. That fall is the gap between the ages of the players who left and those who came in.
Fall in total age \(=11\times2=22\) months \(=1\) year 10 months
Total age of the two players replaced \(=27+31=58\) years
Total age of the two new players \(=58\) years \(-\) 1 year 10 months \(=56\) years 2 months
Average age of the new players \(=\) 56 years 2 months \(\div2=\) 28 years 1 month