Let's represent Jeff's weight as an equation and Darius' weight as an equation where
equals the number of months they have been gaining/losing pounds.
Jeff's weight can be modeled by the equation below:

Darius' weight can be modeled by the equation below:

Since we are trying to find when the weights will be equal, let's set the equations equal to each other and solve:

- Set equations equal to each other

- Subtract
from both sides

- Subtract 120 from both sides of the equation

- Divide both sides of the equation by 6
We have found m = 5. This means that the number of months it will take for their weights to be equal is 5.