There are 2 different companies i.e., Y and Z. Number of male employees working in company Y is 250 and number of male employees working in company Z is equal to number of female employees working in Y . Total number of male employees in both company is 400 and number of female employees working in company Z is double to that of female employees in company Y .

Find the total number of female employees working in both companies?

The correct answer is 450.

Step-by-step Explanation:

Step 1: Extract the given information for male employees.
Number of male employees in company Y = 250
Total number of male employees in both companies (Y + Z) = 400

Step 2: Find the number of male employees in company Z.
Number of male employees in Z = Total male employees - Male employees in Y

$\text{Male (Z)}=400-250=150$

Step 3: Determine the number of female employees in company Y.
According to the problem statement, the number of male employees in company Z is equal to the number of female employees in company Y.

$\text{Female (Y)}=\text{Male (Z)}=150$

Step 4: Determine the number of female employees in company Z.
The problem states that the number of female employees in company Z is double that of female employees in company Y.

$\text{Female (Z)}=2\times \text{Female (Y)}=2\times 150=300$

Step 5: Calculate the total number of female employees in both companies.
Total female employees = Female employees in Y + Female employees in Z

$\text{Total Females}=150+300=450$

Thus, the total number of female employees working in both companies is 450.