Question: In a cricket eleven ,the average 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 and the youngest player, what is the age of the captain ?
A
B
C
D
`33 years`
B
`34 years`
C
`35 years`
D
`36 years`
Note: Let the age of youngest player be x.
Then, age of the captain
`= (x + 11)`
`:. 3 xx 25 + 3 xx 28 + 3 xx 30 + x + x + 11`
`= 11 xx 28`
`⇒ 75 + 84 + 90 + 2x + 11`
`= 308 ⇒ 2x = 48`
`⇒ x = 24`.
:. Age of the captain
`= (x + 11)`
`= 35 years`