in a cricket eleven the average of players is 28 years..., Average, General Mathematics

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 `33 years` 
B `34 years` 
C `35 years` 
D `36 years`

/54

+ AnswerC

+ ExplanationLet 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`

+ Report

Descriptive on Average Ebook

Total Preview: 725