The Sum of Two Numbers is 27 and Their Difference is 3

The sum of two numbers is 27 and their difference is 3. 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 3. In other words, x minus y equals 3 and can be written as equation B:

x - y = 3

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

x - y = 3
x = 3 + y

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

x + y = 27
3 + y + y = 27
3 + 2y = 27
2y = 24
y = 12

Now we know y is 12. Which means that we can substitute y for 12 in equation A and solve for x:

x + y = 27
x + 12 = 27
X = 15

Summary: The sum of two numbers is 27 and their difference is 3. What are the two numbers? Answer: 15 and 12 as proven here:

Sum: 15 + 12 = 27
Difference: 15 - 12 = 3

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