The Sum of Two Numbers is 72 and Their Difference is 8

The sum of two numbers is 72 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 72. In other words, x plus y equals 72 and can be written as equation A:

x + y = 72

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 = 72
8 + y + y = 72
8 + 2y = 72
2y = 64
y = 32

Now we know y is 32. Which means that we can substitute y for 32 in equation A and solve for x:

x + y = 72
x + 32 = 72
X = 40

Summary: The sum of two numbers is 72 and their difference is 8. What are the two numbers? Answer: 40 and 32 as proven here:

Sum: 40 + 32 = 72
Difference: 40 - 32 = 8

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The Sum of Two Numbers is 72 and Their Difference is 9
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