The sum of two numbers exceeds their product by one. Their difference is equal to their products less five. Find the two numbers

1 and 3

Step-by-step explanation:

If the two numbers are x and y, then:

x + y = xy + 1

x - y = xy - 5

Subtract the two equations:

(x + y) - (x - y) = (xy + 1) - (xy - 5)

x + y - x + y = xy + 1 - xy + 5

2y = 6

y = 3

Solve for x:

x + 3 = 3x + 1

2 = 2x

x = 1

The numbers are 1 and 3.