Question

In a club, the average age of the members is 30 years, the average age of the male members is 34 years and that of the female members is 26 years. The percentage of male members is:

Answer 1

Let the number of males members be X and female members be Y.
Then,
Total age of male members = 34 x X
Total age of female members = 26 x Y
Total age of all the members = (X + Y) x 30
⇒ 34X + 26Y = (X + Y) x 30
⇒ 34X + 26Y = 30X + 30Y
⇒ 4X = 4Y ⇒ X = Y
Percentage of Males is 50%