Question

The average age of 40 students in a class is 16 years. When a new student is admitted, the average increases by 0.2 years. What is the age of the new student?

• A. 24.2
• B. 20.2
• C. 19.2
• D. 16.2

Answer 1

Answer:

A. 24.2

Average age of 40 students = 16 years.

So, total age of the 40 students:

$40 \times 16 = 640$

After a new student joins, the number of students becomes:

41

The new average is:

16 + 0.2 = 16.2

So, the new total age is:

$41 \times 16.2 = 664.2$

Therefore, the age of the new student is:

$664.2 - 640 = 24.2$

Age of the new student = $(\boxed{24.2\text{ years}}).$