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.

Question

Mathematics

Molly Good

24 June, 19:44

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.

+4

Answers (1)

Know the Answer?

Pogo · Answer 1

9.5,7.5

Step-by-step 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

The difference of the product of two numbers and their sum is 23. If one number is2 more than the other number, find the numbers.

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.