The Sum of Two Numbers is 83 and Their Difference is 2

The sum of two numbers is 83 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 83. In other words, x plus y equals 83 and can be written as equation A:

x + y = 83

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 = 83
2 + y + y = 83
2 + 2y = 83
2y = 81
y = 40.5

Now we know y is 40.5. Which means that we can substitute y for 40.5 in equation A and solve for x:

x + y = 83
x + 40.5 = 83
X = 42.5

Summary: The sum of two numbers is 83 and their difference is 2. What are the two numbers? Answer: 42.5 and 40.5 as proven here:

Sum: 42.5 + 40.5 = 83
Difference: 42.5 - 40.5 = 2

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The Sum of Two Numbers is 83 and Their Difference is 3
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