**Question 01**

**The average age of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 14 students?**

**Given: **

Average age of 35 students = 16 years

Average age of 21 students = 14

**To find: **

Average age of remaining 14 students

Average of 35 students = sum of age of all students/ no. of students

16 = Sum/ 35**Sum of age of all students = 16 x 35** —(1)

Average age of 21 students = sum of age of 21 students/ 21**Sum of age of 21 students = 14 x 21 ** — (2)

Hence,**Sum of age of 14 students** = Sum of age of 35 students – Sum of age of 21 Student

= (16 * 35) – (14*21) = **266**

Average of age of 14 students = sum of age of 14 students/ 14**average of 14 students** = (266)/ 14

= 19 years

**Ans. Therefore, the average age of 14 students is 19 years.**