Question

The difference of two numbers is 2 and the product of the numbers is 41.25

Answer 1

Let x represent the average of the two numbers. Then their product can be written as
  (x -1)*(x +1) = 41.25
  x^2 -1 = 41.25
  x^2 = 42.25
  x = ±√42.25 = ±6.5

The two numbers are {-5.5, -7.5} or {5.5, 7.5}.