Set up the Balance account B(m), where m is the number of months since the deposit.

Matt:

B(m) = 20m + 100

Ben:

B(m) = 80 + 30m

Set both balance equations equal to each other to see if they ever have the same balance:

20m + 100 = 80 + 30m

To solve for m, we type this equation into our search engine and we get:

m =

**2**

So yes, they will have the same balance at m = 2

So yes, they will have the same balance at m = 2