Question

The difference of the product of two numbers and their sum is 23. If one number is

2 more than the other number, find the numbers.

Answer 1

9.5,7.5

Explanation:

let x and y be the numbers.

let x>y

x=y+2

or x-y=2

(x-y)(x+y)=23

2(x+y)=23

2(y+2+2)=23

2(y+4)=23

2y+8=23

2y=23-8=15

y=15/2=7.5

x=y+2=7.5+2=9.5