# In a group of 120 people one-fifth are men one-fourth are…

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### In a group of 120 people, one-fifth are men, one-fourth are women and the rest children. The average age of women is five-sixth of the average age of men. Average age of children is one-fourth of the average age of men. If average age of men is 60 years, what is the average age of the group?

1. A. 32.75 yeras
2. B. 38.45 years
3. C. 45.25 years
4. D. 50.5 years

Here is complete explanation of In a group of 120 people one-fifth are men one-fourth are….

### Solution(By ExamCraze Team)

Number of men
= \$\$frac{1}{5}\$\$ × 120
= 24
Number of women
= \$\$frac{1}{4}\$\$ × 120
= 30
Number of children
= 120 - (24 + 30)
= 66
Average age of men = 60 years
Average age of children
= \$\$frac{1}{4}\$\$ × 60
= 15 years
Average age of women
= \$\$frac{5}{6}\$\$ × 60
= 50 years
∴ Avarage age of the group
\$\$eqalign{ & = left( {frac{{60 times 24 + 50 times 30 + 15 times 66}}{{120}}} right){text{ years}} cr & = left( {frac{{3930}}{{120}}} right){text{ years}} cr & = 32.75{text{ years}} cr} \$\$