Question

Two numbers have a sum of 23 and a difference of 9 what are the two numbers ?

Answer 1

The two numbers are 7 and 16.

Explanation:

Answer 2

Let x and y the numbers we are looking for, since they have a sum of 23, we can set the following equation:

`x+y=23.`

Also, since its difference is 9, we can set the following equation:

`x-y=9.`

Adding the first equation to the second one we get:

`x-y+x+y=9+23.`

Simplifying the above equation we get:

`2x=32.`

Dividing the above equation by 2 we get:

`\begin{gathered} (2x)/(2)=(32)/(2), \\ x=16. \end{gathered}`

Substituting x=16 in the first equation we get:

`16+y=23.`

Subtracting 16 from the above equation we get:

`\begin{gathered} 16+y-16=23-16, \\ y=7. \end{gathered}`

Answer: The numbers we are looking for are 16 and 7.