2 Answers

Rob Deary · Answer 1 · 2023-07-28T14:41:15+0000

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

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

Adding the first equation to the second one we get:

Simplifying the above equation we get:

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:

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.

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