Answer:
The larger number is 0 (zero)
Explanation:
We start off by representing the unknown numbers with variables
Let the larger number be x while the smaller one is y
The sum of the two numbers is -9
[tex]x\text{ + y = -9}[/tex]The smaller number is 9 less than the larger number:
[tex]\begin{gathered} x-y\text{ = 9} \\ x\text{ = 9 + y} \end{gathered}[/tex]Now, insert the second equation into the first
Mathematically, we have this as:
[tex]\begin{gathered} 9\text{ + y + y= -9} \\ 2y\text{ = -9-9} \\ 2y\text{ = -18} \\ y\text{ = }\frac{-18}{2} \\ y\text{ = -9} \end{gathered}[/tex]Recall:
[tex]\begin{gathered} x\text{ = 9 + y} \\ \text{ = 9 + (-9) = 0} \end{gathered}[/tex]0 is greater than -9 and thus, it is the larger number
