Three Employees want to know the average of their salaries. They are not allowed to share their individual salaries.

This problem can be solved using a method that allows each employee to share information without revealing their individual salaries. Here's a step-by-step guide:

1. Employee 1 adds a random number (R1) to their salary (S1) and tells the result (S1+R1) to Employee 2. Employee 1 must remember the random number they added.

2. Employee 2 adds their salary (S2) and the number they received from Employee 1 (S1+R1) and adds another random number (R2). They then tell the result (S1+S2+R1+R2) to Employee 3. Employee 2 must remember their random number.

3. Employee 3 adds their salary (S3) to the number they received from Employee 2 (S1+S2+R1+R2) and tells the result (S1+S2+S3+R1+R2) to Employee 1.

4. Employee 1 subtracts their random number (R1) from the number they received from Employee 3 (S1+S2+S3+R1+R2) and tells the result (S1+S2+S3+R2) to Employee 2.

5. Employee 2 subtracts their random number (R2) from the number they received from Employee 1 (S1+S2+S3+R2) and tells the result (S1+S2+S3) to Employee 3.

6. Employee 3 now has the total of all three salaries (S1+S2+S3). They can calculate the average by dividing this total by 3.

This way, each employee only shares a number that includes their salary and a random number, or a number that includes all salaries and a random number. No one ever shares just their salary.