In a cricket team of eleven, the average age of the eleven players is 28 years. The average ages of three groups of three players each are 25 years, 28 years and 30 years. The captain and the younger player, who is 11 years younger than the captain, are not included in these groups. The age of the captain is:
A
33 years
B
34 years
C
35 years
D
36 years
Correct Option:
C
Explanation
The total age of the eleven players is 11 × 28 = 308 years. The nine players in the three groups total 3 × 25 + 3 × 28 + 3 × 30 = 249 years. Therefore, the captain and the younger player together total 59 years. If the captain is x years old, the younger player is x − 11, so 2x − 11 = 59 and x = 35. The captain is 35 years old.
