The Sum of Two Numbers is 82 and Their Difference is 3

The sum of two numbers is 82 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 82. In other words, x plus y equals 82 and can be written as equation A:

x + y = 82

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 = 82
3 + y + y = 82
3 + 2y = 82
2y = 79
y = 39.5

Now we know y is 39.5. Which means that we can substitute y for 39.5 in equation A and solve for x:

x + y = 82
x + 39.5 = 82
X = 42.5

Summary: The sum of two numbers is 82 and their difference is 3. What are the two numbers? Answer: 42.5 and 39.5 as proven here:

Sum: 42.5 + 39.5 = 82
Difference: 42.5 - 39.5 = 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 82 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.