In a sports club, 86% of the members are men, and 14% of the members are women. If the average age of the men is 25 years and the average age of the women is 35 years, then what is the average age (in years) of all the members?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 26.4.
Let's assume the total number of members in the sports club = 100x
So, the total number of men = 86% of 100x = 86x
Women = 100x - 86x = 14x
So,
The sum of the age of men = 86x × 25 = 2150x
The sum of the age of women = 14x × 35 = 490x
Average = Sum of the age of members/Total members
Average = (2150x + 490x)/100x
⇒ 2640x/100x = 26.4