Question

In a team of 11 players, two players of ages 18
years and 20 years respectively are replaced with
two new players. The average age of the 11
players exceeds with 2 months. What is the
average age of two new players?​

Answer 1

Answer:

Step-by-step explanation:

Let the average age of 11 players be x.

Then, total age of 11 players = 11x

Total age of 9 players = 11x - (17 + 20) = 11x - 37

Let y be the total age of the 2 new players.

Then  

11

11x−37+y

​  

=x−  

6

1

​  

=  

6

6x−1

​  

 

⇒66x−222+6y=66x−11

⇒6y=−11+222=211y=  

6

211

​  

years

∴ Average of the two players =  

2

y

​  

=  

12

211

​  

=17 years 7 months