The entire state of Montana has just one telephone area code. The same is true for Idaho.

Question

The sum of their area codes is 614 and the difference is 198,and Montana has the numerically larger one. Find the area code of each of these states.

Answer 1

M + I = 614, so I = 614 - M

M - I = 198 => M - (614 - M) = 198 => 2M - 614 = 198 => 2M = 812 => M = 406

So Montana's is 406 and Idaho's is 614 - 406 or 208