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NDA 2018
Exam
NDA
Year
2018
Subject
Mathematics
Chapter
Basics of Mathematics

NDA 2018 · Mathematics · Basics of Mathematics

The average age of a combined group of men and women is 25 years....

The average age of a combined group of men and women is 25 years. If the average age of the group of men is 26 years and the of the group of women is 21 years, then the percentage of men and women in the group is respectively

Options

  1. A20,80
  2. B40,60
  3. C60,40
  4. D80,20

Correct answer

D. 80,20

Step-by-step solution

Let No. of Man = M Let No. of Women =W=\mathrm{W}26M+21W=25(M+W)M=4WM:W=4:1\begin{aligned} & 26 \mathrm{M}+21 \mathrm{ W}=25(\mathrm{M}+\mathrm{W}) \\ & \mathrm{M}=4 \mathrm{ W} \\ & \mathrm{M}: \mathrm{W}=4: 1 \end{aligned}∴\therefore Percent of Men and Women =80%,20%=80 \%, 20 \%
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