The average age of a group of 12 students is 14 years . If 6 more students…
2024
The average age of a group of 12 students is 14 years . If 6 more students join the group , the average age rises by 1 year . The average age of the new students is -
- A.
18 years
- B.
15 years
- C.
16 years
- D.
17 years
Attempted by 40 students.
Show answer & explanation
Correct answer: D
Solution:
Find the total age of the original 12 students: 12 × 14 = 168.
After 6 students join, total students = 18 and the new overall average = 15, so total age = 18 × 15 = 270.
Total age of the 6 new students = 270 − 168 = 102.
Average age of the new students = 102 ÷ 6 = 17 years.
Answer: 17 years