Correct Answer - Option 2 : 49
Given:
Average age of 11 cricket players = 25
The average age of 11 cricket players after coach’s age is included = 27
Concept used:
Average = (Total sum)/(Total numbers)
Calculations:
Let the age of coach be T
Initially, the average age = 25 years
Number of players = 11
Total of age for 11 players = 25 × 11 = 275 years
According to the question,
After adding the age of the coach, new average is obtained as:
⇒ (275 + T)/12 = 27
⇒ 275 + T = 27 × 12
⇒ 275 + T = 324
⇒ T = 324 – 275 = 49 years
∴ The age of the coach is 49 years