The sum of two numbers is 28 and their difference is 4. What are the two numbers?

To find the two numbers, let’s denote them as x and y. We know that:

• The sum of the two numbers: x + y = 28
• The difference between the two numbers: x – y = 4

Now, we can solve these two equations step by step.

First, let’s solve for x in terms of y using the second equation:

x - y = 4  =>  x = y + 4

Next, we can substitute this expression for x into the first equation:

(y + 4) + y = 28

This simplifies to:

2y + 4 = 28

Now, let’s isolate y:

2y = 28 - 4

2y = 24

y = 12

Now that we have y, we can find x by plugging y back into the expression we found earlier:

x = y + 4 = 12 + 4 = 16

So, the two numbers are x = 16 and y = 12. To summarize:

The two numbers are 16 and 12.