###
**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?
**

A. 32.75 yeras
B. 38.45 years
C. 45.25 years
D. 50.5 years
**Answer: Option A**

## Show Answer

Solution(By Apex Team)

Number of men
= $\Large\frac{1}{5}$× 120
= 24
Number of women
= $\Large\frac{1}{4}$× 120
= 30
Number of children
= 120 – (24 + 30)
= 66
Average age of men = 60 years
Average age of children
= $\Large\frac{1}{4}$× 60
= 15 years
Average age of women
= $\Large\frac{5}{6}$× 60
= 50 years
∴ Avarage age of the group
$=\left(\Large\frac{(60\times24+50\times30+15\times66)}{120}\right)\text{years}$
$=\left(\Large\frac{3930}{120}\right)\text{years}$
$=32.75\text{years}$

## Related Questions On Average

### Ajit has a certain average for 9 innings. In the tenth innings, he scores 100 runs thereby increasing his average19 people went to a hotel for combine dinner party 13 by 8 runs. His new average is:

A. 20B. 21

C. 28

D. 32

### Find the average of all the numbers between 6 and 34 which are divisible by 5.

A. 18B. 20

C. 24

D. 30

### In a family, the average age of a father and a mother is 35 years. The average age of the father, mother and their only son is 27 years. What is the age of the son?

A. 10 yearsB. 10.5 years

C. 11 years

D. 12 years

### If the arithmetic mean of 0, 5, 4, 3 is a, that of -1, 0, 1, 5, 4, 3 is b and that of 5, 4, 3 is c, then the relation between a, b, and c is.

A. a = b = cB. a : b : c = 3 : 2 : 4

C. 4a = 5b = c

D. a + b + c = 12