# Find the average age of the family at the birth of the youngest member.

The average of a family of 5 members is 24 If the age of youngest member is 6 years, find the average age of the family at the birth of the youngest member.

- 23 1/2 years
- 20 years
- 22 1/2 years
- 18 years

**Answer: (3) 22 1/2 years **

**Explanation:-**

The average of a family of 5 members = 24

Therefore, the sum of ages of 5 members = 24 x 5

= 120 years

The age of youngest member = 6 years

So, the sum rest four family members = 120 – 6

= 114 years

The 6 years ago, sum of ages of 4 family members = 114 – 6 x 4

= 114 – 24

= 90 years

Then, the average age of the family members at the birth of the youngest member = 90/4

= 22 1/2 years

Hence, the correct answer is option (3) 22 1/2 years.