The Sum of Two Numbers is 24 and Their Difference is 5

The sum of two numbers is 24 and their difference is 5. 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 24. In other words, x plus y equals 24 and can be written as equation A:

x + y = 24

The difference between x and y is 5. In other words, x minus y equals 5 and can be written as equation B:

x - y = 5

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

x - y = 5
x = 5 + y

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

x + y = 24
5 + y + y = 24
5 + 2y = 24
2y = 19
y = 9.5

Now we know y is 9.5. Which means that we can substitute y for 9.5 in equation A and solve for x:

x + y = 24
x + 9.5 = 24
X = 14.5

Summary: The sum of two numbers is 24 and their difference is 5. What are the two numbers? Answer: 14.5 and 9.5 as proven here:

Sum: 14.5 + 9.5 = 24
Difference: 14.5 - 9.5 = 5

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 24 and Their Difference is 6
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.