Answer:
[tex](\frac{55}{2} ,\frac{37}{2} )[/tex]
Step-by-step explanation:
We have to solve this system of equations in order to find the numbers :
Let x be greater number and y be the smaller one :
[tex]\begin{cases}x-y=9\ \ \ (1)&\\ x+y=46\ \ \ (2)&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=x-9\ \ \ (1)&\\ 2x=9+46=55\ \ \ (1)+(2)&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=\frac{55}{2} -9=\frac{37}{2} &\\ x=\frac{55}{2}&\end{cases}[/tex]
