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?

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.