The sum of two numbers is 50 and the difference is 14. What are the numbers?

Answer: 18 and 32

Step-by-step explanation: The first thing you want to do is create a system of equations.

Let's use x to represent one number and y to represent the other.

So, we know that x+y=50 and x-y=14.

We can manipulate the second equation, making it x=y+14 by adding y to both sides. Then, now that we have an equivalent to x, we can plug it into the first equation to solve for y.

(y+14) + y=50

2y+14=50

2y=36

y=18

x+18=50

x=50-18

x=32

x=32, y=18

The answer is 32 and 18