Question

the sum of two number exceed their product by one their difference is equal to their product less five find the two number

Answer 1

Let the two numbers be x and y

x+y - xy = 1
x-y - xy = -5
subtract:
2y = 6
y = 3
sub into x+y -xy = 1
x + 3 - 3x = 1
-2x = -2
x = 1

check:
first condition, "the sum of two number exceed their product by one"
sum = 4, product = 3, does sum of two number exceed their product by one?
YES
2nd condition: "their difference is equal to their product less five"
their difference = 1 - 3 = -2
their product less five = 3 - 5 = -2, all is good

the two numbers are 1 and 3