Let a = the smaller number and b = the larger.

b - a = 14

b = 2a + 1

Now, there are a few ways to do this, but since one equation is already solved for one of the variables, let's use substitution. That means we can swap out what's on one side of the = for what's on the other since they are the same (equal).

2a + 1 - a = 14

**a = 13**

b = 2(13) + 1

**b = 27 ** ** **