Question 142
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 the male members is
Solution
Let male members be $$x$$ and female members be $$y$$
=> Total members in the club = $$(x+y)$$
Now, total age of male members = $$34x$$
Total age of female members = $$26y$$
Also, total age of all the members = $$30(x + y)$$
Acc to ques :
=> $$34x + 26y = 30x + 30y$$
=> $$4x = 4y$$
=> $$x = y$$
Now, % of male members = $$\frac{x}{x + y}*100$$
= $$\frac{x}{2x}*100 = 50$$%
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