The Sum of Two Numbers is 72 and Their Difference is 6

The sum of two numbers is 72 and their difference is 6. 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 72. In other words, x plus y equals 72 and can be written as equation A:

x + y = 72

The difference between x and y is 6. In other words, x minus y equals 6 and can be written as equation B:

x - y = 6

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

x - y = 6
x = 6 + y

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

x + y = 72
6 + y + y = 72
6 + 2y = 72
2y = 66
y = 33

Now we know y is 33. Which means that we can substitute y for 33 in equation A and solve for x:

x + y = 72
x + 33 = 72
X = 39

Summary: The sum of two numbers is 72 and their difference is 6. What are the two numbers? Answer: 39 and 33 as proven here:

Sum: 39 + 33 = 72
Difference: 39 - 33 = 6

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 72 and Their Difference is 7
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.