The average age of eleven cricket players is 20 years. If the age of the coach is also included, the average age increases by 10%. The age of the coach is?
Question
The average age of eleven cricket players is 20 years. If the age of the coach is also included, the average age increases by 10%. The age of the coach is?
Solution
Step 1: Calculate the total age of the eleven cricket players.
The average age of the eleven cricket players is 20 years. So, their total age is 20 years * 11 = 220 years.
Step 2: Calculate the new average age when the coach's age is included.
The average age increases by 10% when the coach's age is included. So, the new average age is 20 years + 10% of 20 years = 22 years.
Step 3: Calculate the total age of the eleven cricket players and the coach.
The total age of the eleven cricket players and the coach is the new average age * the new total number of people. So, the total age is 22 years * 12 = 264 years.
Step 4: Calculate the coach's age.
The coach's age is the total age of the eleven cricket players and the coach - the total age of the eleven cricket players. So, the coach's age is 264 years - 220 years = 44 years.
So, the coach is 44 years old.
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