The Sum of Two Numbers is 27 and Their Difference is 8

The sum of two numbers is 27 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 27. In other words, x plus y equals 27 and can be written as equation A:

x + y = 27

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 = 27
8 + y + y = 27
8 + 2y = 27
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 = 27
x + 9.5 = 27
X = 17.5

Summary: The sum of two numbers is 27 and their difference is 8. What are the two numbers? Answer: 17.5 and 9.5 as proven here:

Sum: 17.5 + 9.5 = 27
Difference: 17.5 - 9.5 = 8

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The Sum of Two Numbers is 27 and Their Difference is 9
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