Question

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

Answer 1

1 and 3

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.