The Sum of Two Numbers is 28 and Their Difference is 4

The sum of two numbers is 28 and their difference is 4. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 28. In other words, x plus y equals 28 and can be written as equation A:

x + y = 28

The difference between x and y is 4. In other words, x minus y equals 4 and can be written as equation B:

x - y = 4

Now solve equation B for x to get the revised equation B:

x - y = 4
x = 4 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 28
4 + y + y = 28
4 + 2y = 28
2y = 24
y = 12

Now we know y is 12. Which means that we can substitute y for 12 in equation A and solve for x:

x + y = 28
x + 12 = 28
X = 16

Summary: The sum of two numbers is 28 and their difference is 4. What are the two numbers? Answer: 16 and 12 as proven here:

Sum: 16 + 12 = 28
Difference: 16 - 12 = 4

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