The Sum of Two Numbers is 27 and Their Difference is 2

The sum of two numbers is 27 and their difference is 2. 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 27. In other words, x plus y equals 27 and can be written as equation A:

x + y = 27

The difference between x and y is 2. In other words, x minus y equals 2 and can be written as equation B:

x - y = 2

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

x - y = 2
x = 2 + y

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

x + y = 27
2 + y + y = 27
2 + 2y = 27
2y = 25
y = 12.5

Now we know y is 12.5. Which means that we can substitute y for 12.5 in equation A and solve for x:

x + y = 27
x + 12.5 = 27
X = 14.5

Summary: The sum of two numbers is 27 and their difference is 2. What are the two numbers? Answer: 14.5 and 12.5 as proven here:

Sum: 14.5 + 12.5 = 27
Difference: 14.5 - 12.5 = 2

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 27 and Their Difference is 3
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.