In a group of 260 people, one-fourth are women, two-fifths are men, and the rest are children. The average age of women is five-sixths of the average age of men, average age of children is one-third of the average age of men. If the average age of men is 48 years, what is the average age of the group in years?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e 34.8.
Total people = 260
Women = 1/4 of 260 = 65
Men = 2/5 of 260 = 104
Children = 260 - 65 - 104 = 91
Average age of men = 48
Average age of women = 5/6 of 48 = 40
Average age of children = 1/3 of 48 = 16
Total age of men = 104 × 48 = 4992
Total age of women = 65 × 40 = 2600
Total age of children = 91 × 16 = 1456
Total age = 4992 + 2600 + 1456 = 9048
Average age of group = 9048 ÷ 260 = 34.8 years