Let the two numbers be x and y. The sum of x and y is 14 and the difference is 20. We can write a system of equations and solve:
[tex]x-y=20 \\
x+y=14 \\
2x=34 \\
x=17[/tex]
Then substitute x back into one of the equations to find y:
[tex]x+y=14 \\
17+y=14 \\
y=-3[/tex]
So the two numbers are 17 and -3
