The Sum of Two Numbers is 10 and Their Difference is 3

The sum of two numbers is 10 and their difference is 3. 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 3. In other words, x minus y equals 3 and can be written as equation B:

x - y = 3

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

x - y = 3
x = 3 + y

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

x + y = 10
3 + y + y = 10
3 + 2y = 10
2y = 7
y = 3.5

Now we know y is 3.5. Which means that we can substitute y for 3.5 in equation A and solve for x:

x + y = 10
x + 3.5 = 10
X = 6.5

Summary: The sum of two numbers is 10 and their difference is 3. What are the two numbers? Answer: 6.5 and 3.5 as proven here:

Sum: 6.5 + 3.5 = 10
Difference: 6.5 - 3.5 = 3

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 4
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.