Answer:
15, 16
Step-by-step explanation:
Let x represent the smaller number. Then x+1 is the larger, and their product is x(x+1). Their sum is (x +(x+1)) = 2x+1. So, the required relation is ...
x(x+1) -(2x+1) = 209
Expressed in the form f(x) = 0, we can write this as ...
x(x+1) -(2x+1) -209 = 0
Graphing this shows x=15 to be the positive solution.
The numbers are 15 and 16.
