The Sum of Two Numbers is 10 and Their Difference is 4

The sum of two numbers is 10 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 10. In other words, x plus y equals 10 and can be written as equation A:

x + y = 10

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 = 10
4 + y + y = 10
4 + 2y = 10
2y = 6
y = 3

Now we know y is 3. Which means that we can substitute y for 3 in equation A and solve for x:

x + y = 10
x + 3 = 10
X = 7

Summary: The sum of two numbers is 10 and their difference is 4. What are the two numbers? Answer: 7 and 3 as proven here:

Sum: 7 + 3 = 10
Difference: 7 - 3 = 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 10 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.