The Sum of Two Numbers is 60 and Their Difference is 7

The sum of two numbers is 60 and their difference is 7. 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 60. In other words, x plus y equals 60 and can be written as equation A:

x + y = 60

The difference between x and y is 7. In other words, x minus y equals 7 and can be written as equation B:

x - y = 7

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

x - y = 7
x = 7 + y

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

x + y = 60
7 + y + y = 60
7 + 2y = 60
2y = 53
y = 26.5

Now we know y is 26.5. Which means that we can substitute y for 26.5 in equation A and solve for x:

x + y = 60
x + 26.5 = 60
X = 33.5

Summary: The sum of two numbers is 60 and their difference is 7. What are the two numbers? Answer: 33.5 and 26.5 as proven here:

Sum: 33.5 + 26.5 = 60
Difference: 33.5 - 26.5 = 7

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 60 and Their Difference is 8
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.