The Sum of Two Numbers is 56 and Their Difference is 2

The sum of two numbers is 56 and their difference is 2. 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 56. In other words, x plus y equals 56 and can be written as equation A:

x + y = 56

The difference between x and y is 2. In other words, x minus y equals 2 and can be written as equation B:

x - y = 2

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

x - y = 2
x = 2 + y

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

x + y = 56
2 + y + y = 56
2 + 2y = 56
2y = 54
y = 27

Now we know y is 27. Which means that we can substitute y for 27 in equation A and solve for x:

x + y = 56
x + 27 = 56
X = 29

Summary: The sum of two numbers is 56 and their difference is 2. What are the two numbers? Answer: 29 and 27 as proven here:

Sum: 29 + 27 = 56
Difference: 29 - 27 = 2

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The Sum of Two Numbers is 56 and Their Difference is 3
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