In a cricket eleven, the average age of eleven players is 28 years. Out of these, the average ages of three groups of three players each are 25 years, 28 years, and 30 years respectively. If in these groups, the captain and the youngest player are not included, and the captain is eleven years older than the youngest player. What is the age of the captain?
Note
Let the age of the youngest player be x.
Then, age of the captain = ( x + 11)
∴ (3 x 25) + (3 x 28) + (3 x 30) + (x + x) + 11 = (11 x 28)
⇒ (75 + 84 + 90 + 2x + 11) = 308
⇒ 2x = 48
⇒ x = 24
∴ Age of the captain = (x + 11) = 35 years.