Question

The average age of eleven cricket players is 30 years. If the age of the coach is also included, the average age increases by 20%. What is age of the coach?

1. 102 years
2. 98 years
3. 124 years
4. 78 years

Answer 1

Correct Answer - Option 1 : 102 years

Given:

Average age of 11 cricket players = 30 years

Increment in average age if age of coach is also included = 20%

Calculation:

Total age of 11 players = 11 × 30 = 330 years

Increased average if age of coach is also included = 30 × (120/100) years

⇒ 36 years

Total age of 11 players and the coach = 12 × 36 = 432 years

Age of the coach = (432 – 330) years

⇒ 102 years

∴ Age of the coach is 102 years