The mean age of a combined group of men and women is 35 years. If the mean age of the men is 36 years and the mean age of the women is 32 years, find the percentage of women in the group.
(a) 20%
(b) 25%
(c) 50%
(d) 75%

Answer: B. 25%

• Answer: (b) 25%
• Solution:
1. Let the number of men be x and the number of women be y.
2. Total age of the group can be written in two ways:
\(\text{Total\ Age}=35(x+y)\)

\(\text{Total\ Age}=36x+32y\)
3. Equate both expressions:
\(36x+32y=35(x+y)\)

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