two numbers have a sum of 23 and a difference of 9. Find the two numbers

Question

 I need help with this now! PLEASE!!!

Answer 1

using only one variable

x and 23-x are the numbers (because x+23-x=23)

their difference is 9

23-x-(x)=9

23-2x=9

23-9=2x

14=2x

x=7

23-x=23-7=16

7 and 16 are the numbers

 

Answer 2

We assign variable for the two numbers.

 

Let the first number = x

Let the second number = y

 

 

Set up two equations using these variables.

 

x + y = 23             eq1

x - y = 9                eq2

 

 

We can add the two equations to eliminate the y terms.

 

2x = 32

  x = 16

 

Substitute this value of x into eq1 to solve for y.

 

16 + y = 23

        y = 7

 

The two numbers are 7 and 16.