Question

# The mean age of a combined group of men and women is $$25$$ yrs. If mean age of men is $$26$$ and that of women is $$21 ,$$ then percentage of men and women in the group. is:

A
60,40
B
80,20
C
20,80
D
30,70

Solution

## The correct option is C $$80,20$$Let there be $$x\%$$ of men.Mean $$= \dfrac{26x + 21(100-x)}{100} = 25$$$$26x - 21x + 2100 = 2500$$$$5x = 400 \Rightarrow x = 80$$Hence there are $$80\%$$ of men and $$20\%$$ of women in the group.Mathematics

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