Question

The difference between two numbers is 9. Find the numbers if their sum is 46

Answer 1

`((55)/(2) ,(37)/(2) )`

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 :

`\begin{cases}x-y=9\ \ \ (1)&\\ x+y=46\ \ \ (2)&\end{cases}`

`\Longleftrightarrow \begin{cases}y=x-9\ \ \ (1)&\\ 2x=9+46=55\ \ \ (1)+(2)&\end{cases}`

`\Longleftrightarrow \begin{cases}y=(55)/(2) -9=(37)/(2) &\\ x=(55)/(2)&\end{cases}`