The Sum of Two Numbers is 36 and Their Difference is 8

The sum of two numbers is 36 and their difference is 8. 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 36. In other words, x plus y equals 36 and can be written as equation A:

x + y = 36

The difference between x and y is 8. In other words, x minus y equals 8 and can be written as equation B:

x - y = 8

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

x - y = 8
x = 8 + y

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

x + y = 36
8 + y + y = 36
8 + 2y = 36
2y = 28
y = 14

Now we know y is 14. Which means that we can substitute y for 14 in equation A and solve for x:

x + y = 36
x + 14 = 36
X = 22

Summary: The sum of two numbers is 36 and their difference is 8. What are the two numbers? Answer: 22 and 14 as proven here:

Sum: 22 + 14 = 36
Difference: 22 - 14 = 8

Sum Difference Calculator
Do you want the answer to a similar problem? Enter the sum and difference here to find the two numbers:

The Sum of Two Numbers is 36 and Their Difference is 9
Using what you learned on this page, try to figure out the next problem on our list and then go here to check the answer.