the average age of 25players is 26 years.the average age of the first 12 players of them is 25years and the average age of the last 12 players is 27years.what is the age of the thirteenth player.
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Answer:
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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