In a team of 11 players, two players of ages 18
years and 20 years respectively are replaced with
two new players. T

1 thought on “In a team of 11 players, two players of ages 18 <br /> years and 20 years respectively are replaced with <br /> two new players. T”

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

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