The Sum of Two Numbers is 27 and Their Difference is 5

The sum of two numbers is 27 and their difference is 5. 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 5. In other words, x minus y equals 5 and can be written as equation B:

x - y = 5

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

x - y = 5
x = 5 + y

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

x + y = 27
5 + y + y = 27
5 + 2y = 27
2y = 22
y = 11

Now we know y is 11. Which means that we can substitute y for 11 in equation A and solve for x:

x + y = 27
x + 11 = 27
X = 16

Summary: The sum of two numbers is 27 and their difference is 5. What are the two numbers? Answer: 16 and 11 as proven here:

Sum: 16 + 11 = 27
Difference: 16 - 11 = 5

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