The Sum of Two Numbers is 73 and Their Difference is 2

The sum of two numbers is 73 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 73. In other words, x plus y equals 73 and can be written as equation A:

x + y = 73

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 = 73
2 + y + y = 73
2 + 2y = 73
2y = 71
y = 35.5

Now we know y is 35.5. Which means that we can substitute y for 35.5 in equation A and solve for x:

x + y = 73
x + 35.5 = 73
X = 37.5

Summary: The sum of two numbers is 73 and their difference is 2. What are the two numbers? Answer: 37.5 and 35.5 as proven here:

Sum: 37.5 + 35.5 = 73
Difference: 37.5 - 35.5 = 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 73 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.