Question

The average age of a sports team of 15 members is 23.4 years. A new member joins the team and the average age now becomes 23 years. The age (in years) of the new member is:

• A. 17
• B. 16
• C. 15
• D. 18

Answer 1

Answer:

A. 17

Solution: Given: The average age of a sports team of 15 members is 23.4 years. A new member joins the team and the average age now becomes 23 years. Concept Used: Average = Sum of Observations/Number of Observations Calculation: The sum of the ages of the team = 23.4 × 15 ⇒ 351 When a new player joins the team the sum of their ages becomes = 23 × 16 ⇒ 368 The age (in years) of the new member is = 368 - 351 ⇒ 17 years. ∴ The age (in years) of the new member is 17 years.