The Sum of Two Numbers is 96 and Their Difference is 5

The sum of two numbers is 96 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 96. In other words, x plus y equals 96 and can be written as equation A:

x + y = 96

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 = 96
5 + y + y = 96
5 + 2y = 96
2y = 91
y = 45.5

Now we know y is 45.5. Which means that we can substitute y for 45.5 in equation A and solve for x:

x + y = 96
x + 45.5 = 96
X = 50.5

Summary: The sum of two numbers is 96 and their difference is 5. What are the two numbers? Answer: 50.5 and 45.5 as proven here:

Sum: 50.5 + 45.5 = 96
Difference: 50.5 - 45.5 = 5

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