In a team of eleven, the average age of eleven players is 28 years.What is the age of the captainI.The captain is eleven years older than the youngest playerII.The average age of 10 players, other than the captain is 27.3 yearsI alone gives the answer but not IIII alone gives the answer but not II and II both required for the answerI and II both together cannot give the answer
Question
In a team of eleven, the average age of eleven players is 28 years.What is the age of the captainI.The captain is eleven years older than the youngest playerII.The average age of 10 players, other than the captain is 27.3 yearsI alone gives the answer but not IIII alone gives the answer but not II and II both required for the answerI and II both together cannot give the answer
Solution
The total age of the team is 11*28 = 308 years (since the average age is 28).
From statement II, the total age of the 10 players, excluding the captain, is 10*27.3 = 273 years.
Subtracting the total age of the 10 players from the total age of the team gives the age of the captain: 308 - 273 = 35 years.
So, the age of the captain is 35 years.
Therefore, II alone gives the answer but not I.
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