There are 90 female members and 60 male members in a club. If the average age of female members is 35 years, and the average age of male members is 45 years, then find the average age (in years) of the whole club?

Correct option is A

Given:

Number of female members = 90

Average age of female members = 35 years​​

Number of male members = 60

Average age of male members = 45 years

Formula Used:

Average age of the whole club = $$\frac{\text{Total age of female members} + \text{Total age of male members}}{\text{Total number of members}}$$​​

Solution:

Total Age of Female Members = 90 × 35 = 3150

Total Age of Male Members = 60 × 45 = 2700

Total Number of Members = 90 + 60 = 150

​​​$$\text{Overall Average Age} = \frac{3150 + 2700}{150}\\ \ \\ = \frac{5850}{150} = 39$$​​