Answer:
12 months
Step-by-step explanation:
A company employs 72 workers. It plans to increase the number of employees by 6 per month.
Let x = number of months when the company increases the number of workers. Then in x months, the number of workers increases by 6x and the total number of workers will be (72+6x).
They plan to increase the number of workers until it has twice its current workforce. So
[tex]72+6x=2\cdot 72[/tex]
Solve this equation:
[tex]72+6x=144\\ \\6x=144-72\\ \\6x=72\\ \\x=12[/tex]