Question

The average age of male employees working in an office is 50 and average age of female employees is 35. If the ratio of males and females is 2 : 1, then find average age of all employees.
1. 45
2. 50
3. 39
4. 48

Answer 1

Correct Answer - Option 1 : 45

Given:

The average age of male employees = 50

The average age of female employees = 35

The ratio of male employees and female employees = 2 : 1

Formula Used:

Average = Sum of observations/Total number of observations

Calculation:

Let the number of male employees be 2x and female employees be x

The sum of ages of male employees = 50 × 2x

⇒ 100x  

The sum of ages of female employees = 35 × x

⇒ 35x  

Now,

The average of all employees = (100x + 35x)/(2x + x)

⇒ 135x/3x

⇒ 45

∴ The average of all employees is 45.