the average age of the state level Cricket team is 22 years. the average age gets increased by 1 year when the coach age is also included. what is the age of the coach?
Answers
Explanation:
The average age gets increased by 1 year when the coach age is also included. what is the age of the coach ? Age of coach = 276-242 = 34 yrs.
Given:
The average age of the state-level Cricket team is 22 years
the average age gets increased by 1 year when the coach age is also included.
To Find:
Age of coach
Solution:
Let the age of the coach be x years. and number of players in cricket team are 11.
As we know,
Average = sum of elements / no. of elements.
∴ average age of cricket team = sum of ages of players/ no of players
⇒ 22 = sum of ages of players/ no of players
⇒ 22 × 11 = sum of ages of players
⇒ 242 = sum of ages of players
as average age gets increased by 1 year when the coach age is also included
⇒ 23 = sum of ages of players + age of coach / no of players + 1
⇒ 23 ( 11 + 1 ) = sum of ages of players + age of coach
⇒ 23 × 12 = sum of ages of players + age of coach
⇒ 276 = sum of ages of players + age of coach
Now,
⇒ age of coach =
⇒ sum of ages of players + age of coach - sum of ages of players
⇒ age of coach = 276 - 242
⇒ 34
Hence, the age of the coach is 34.