Question

In an office with 30 trainee and a team lead, the average age of the whole team decreases by 1 year when team lead is excluded. If the average age of the whole team is 27 years, then what is the age of the team lead?

• A. 54 years
• B. 55 years
• C. 56 years
• D. 57 years

Answer 1

The Correct Option is D

Calculating the Age of the Team Lead

Given Information:

• Total number of members: n = 31 (30 trainees + 1 team lead)
• Average age of the whole team: 27 years

Step-by-Step Calculation:

1. Calculate the Total Age of the Whole Team:

Total age = 31 × 27 = 837 

2. Excluding the Team Lead:

When the team lead is excluded, the new average age becomes:

New average age = 27 - 1 = 26

Total age of 30 trainees = 30 × 26 = 780

3. Finding the Age of the Team Lead:

Age of the team lead = 837 - 780 = 57

Final Answer:

Thus, the correct answer is 57 years (Option D).