# The average age of 30 students of a class is 14…

Are you looking for correct answer of The average age of 30 students of a class is 14…? Here we have shared detailed answer with explanations.

### The average age of 30 students of a class is 14 years 4 months. After admission of 5 new students in the class the average becomes 13 years 9 months. The youngest one of the five new students is 9 years 11 months old. The average age of the remaining 4 new students is :

1. A. 10 years 4 months
2. B. 12 years 4 months
3. C. 11 years 2 months
4. D. 13 years 6 months

Here is complete explanation of The average age of 30 students of a class is 14….

### Solution(By ExamCraze Team)

According to the question,
Total age of 30 students
= 30 × (14 years 4 months)
= 30 × \$\$14frac{1}{3}\$\$
= \$\$frac{30 × 43}{3}\$\$
= 430 years
Total age of (30 + 5) students = 35 (13 years 9 months)
= 35 × \$\$13frac{3}{4}\$\$
= \$\$frac{1925}{4}\$\$ years
Total age of 5 students
= \$\$frac{1925}{4}\$\$ - 430
= \$\$frac{205}{4}\$\$
= 51 years 3 months
∴ One of the new five student is = 9 years 11 months old
⇒ Remaining 4 students age
= \$\$frac{{{text{41 years 4 months}}}}{4}\$\$
= 10 years 4 months