The Sum of Two Numbers is 54 and Their Difference is 5

The sum of two numbers is 54 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 54. In other words, x plus y equals 54 and can be written as equation A:

x + y = 54

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 = 54
5 + y + y = 54
5 + 2y = 54
2y = 49
y = 24.5

Now we know y is 24.5. Which means that we can substitute y for 24.5 in equation A and solve for x:

x + y = 54
x + 24.5 = 54
X = 29.5

Summary: The sum of two numbers is 54 and their difference is 5. What are the two numbers? Answer: 29.5 and 24.5 as proven here:

Sum: 29.5 + 24.5 = 54
Difference: 29.5 - 24.5 = 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 54 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.