Answer:
The two numbers are 3.5 and 8.5
Step-by-step explanation:
To find the missing numbers, create a system of equations that satisfies:
1. The sum is 12:
[tex]x+y=12[/tex]2. The difference is 5:
[tex]x-y=5[/tex]Isolate one of the variables in equation 2 and plug it into equation 1:
[tex]x=5+y[/tex]Plugging it into equation 1:
[tex]\begin{gathered} (5+y)+y=12 \\ 2y+5=12 \\ 2y=12-5 \\ y=\frac{7}{2} \\ y=3.5 \end{gathered}[/tex]Now, if y=7/2 satisfies, substitute it into equation 2:
[tex]\begin{gathered} x=5+\frac{7}{2} \\ x=\frac{17}{2} \\ x=8.5 \end{gathered}[/tex]