How do I figure out this word problem?

Question

The sum of two numbers is at least 13. Their difference is less than negative one. Identify three numbers that satisfy the requirememts.

Answer 1

If the difference of the two numbers is less than -1  --> if b-a < -1 then a- b > 1.

 

Let the two numbers be a and b.

 

a + b >= 13

a-b > 1

 

this implies that a-1 > b and plugging in for b in the first equation 2a - 1 > 13 ( as a-1 is > b, the equality sign should be dropped following the plug-in for b). This implies a > 7 and b >= 6. You can choose any 3 set of numbers that satisfy this requirement