The Sum of Two Numbers is 25 and Their Difference is 6

The sum of two numbers is 25 and their difference is 6. 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 25. In other words, x plus y equals 25 and can be written as equation A:

x + y = 25

The difference between x and y is 6. In other words, x minus y equals 6 and can be written as equation B:

x - y = 6

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

x - y = 6
x = 6 + y

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

x + y = 25
6 + y + y = 25
6 + 2y = 25
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 = 25
x + 9.5 = 25
X = 15.5

Summary: The sum of two numbers is 25 and their difference is 6. What are the two numbers? Answer: 15.5 and 9.5 as proven here:

Sum: 15.5 + 9.5 = 25
Difference: 15.5 - 9.5 = 6

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 25 and Their Difference is 7
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.