The Sum of Two Numbers is 66 and Their Difference is 4

The sum of two numbers is 66 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 66. In other words, x plus y equals 66 and can be written as equation A:

x + y = 66

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 = 66
4 + y + y = 66
4 + 2y = 66
2y = 62
y = 31

Now we know y is 31. Which means that we can substitute y for 31 in equation A and solve for x:

x + y = 66
x + 31 = 66
X = 35

Summary: The sum of two numbers is 66 and their difference is 4. What are the two numbers? Answer: 35 and 31 as proven here:

Sum: 35 + 31 = 66
Difference: 35 - 31 = 4

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 66 and Their Difference is 5
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.