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The captain of a cricket team of 11 members is 35 years old and the wicket-keeper is 5 years older than the captain. If the ages of these two are excluded, the average age of the remaining players is three years less than the average age of the whole team. What is the average age of the whole team?

The captain of a cricket team of 11 members is 35 years old and the wicket-keeper is 5 years older than the captain. If the ages of these two are excluded, the average age of the remaining players is three years less than the average age of the whole team. What is the average age of the whole team? Correct Answer 24 years

Given:

The captain of a cricket team of 11 members is 35 years old and the wicket-keeper is 5 years older than the captain. If the ages of these two are excluded, the average age of the remaining players is three years less than the average age of the whole team.

Concept used:

Average = Sum of all observation/No.of observations

Calculations:

Age of captain = 35

Age of wicketkeeper = 35 + 5 = 40

Let the average age of all players be x

When captain & wicketkeeper excluded average age is 'x – 3’ years 

Age of whole team = 11 × x = 11x

Age of team when captain and wicket keeper excluded = 9(x- 3)

So, 

⇒ 11x - (35 + 40) = 9(x - 3) 

⇒ 11x = 9x - 27 + 75

⇒ 2x = 75 - 27

⇒ 2x = 48

⇒ x = 24

∴ The average age of whole team is 24 years.

/9 = x - 3

⇒ 11x - 75 = 9x - 27

⇒ 2x = 48

⇒ x = 24

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