The sum of two numbers is 50 and their difference is 10

x = 30

y = 20

or

(30, 20)

Step-By-Step:

We can start my setting up a system of equations. Like this.

x + y = 50

x - y = 10

We can solve by adding down the two equations so that one of the variables cancels out being the y.

The new equation will be:

2x = 60

So x = 30

Now plug x back into either equation and solve for y.

30 + y = 50

Solve for y.

y = 20

Step-by-step explanation:

The two numbers are 30 and 20 because

30 + 20 = 50

30 - 20 = 10