Question

Average age of 10 chess players is 32 years. When the age of their coach is added, their average age becomes 34 years. The age of their coach is ____.

• A. 44 years
• B. 56 years
• C. 40 years
• D. 54 years

Hint:

In average-related questions, use the formula: \[ \text{New average} = \frac{\text{Total sum of ages}}{\text{Number of people}}. \]

Answer 1

The Correct Option is D

The total age of the 10 players is \( 10 \times 32 = 320 \). When the coach is added, the total age of the 11 people becomes \( 11 \times 34 = 374 \). Therefore, the coach’s age is \( 374 - 320 = 54 \) years.