The Sum of Two Numbers is 80 and Their Difference is 8

The sum of two numbers is 80 and their difference is 8. 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 80. In other words, x plus y equals 80 and can be written as equation A:

x + y = 80

The difference between x and y is 8. In other words, x minus y equals 8 and can be written as equation B:

x - y = 8

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

x - y = 8
x = 8 + y

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

x + y = 80
8 + y + y = 80
8 + 2y = 80
2y = 72
y = 36

Now we know y is 36. Which means that we can substitute y for 36 in equation A and solve for x:

x + y = 80
x + 36 = 80
X = 44

Summary: The sum of two numbers is 80 and their difference is 8. What are the two numbers? Answer: 44 and 36 as proven here:

Sum: 44 + 36 = 80
Difference: 44 - 36 = 8

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The Sum of Two Numbers is 80 and Their Difference is 9
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