The Sum of Two Numbers is 84 and Their Difference is 4

The sum of two numbers is 84 and their difference is 4. 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 84. In other words, x plus y equals 84 and can be written as equation A:

x + y = 84

The difference between x and y is 4. In other words, x minus y equals 4 and can be written as equation B:

x - y = 4

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

x - y = 4
x = 4 + y

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

x + y = 84
4 + y + y = 84
4 + 2y = 84
2y = 80
y = 40

Now we know y is 40. Which means that we can substitute y for 40 in equation A and solve for x:

x + y = 84
x + 40 = 84
X = 44

Summary: The sum of two numbers is 84 and their difference is 4. What are the two numbers? Answer: 44 and 40 as proven here:

Sum: 44 + 40 = 84
Difference: 44 - 40 = 4

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The Sum of Two Numbers is 84 and Their Difference is 5
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