The Sum of Two Numbers is 92 and Their Difference is 8

The sum of two numbers is 92 and their difference is 8. 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 92. In other words, x plus y equals 92 and can be written as equation A:

x + y = 92

The difference between x and y is 8. In other words, x minus y equals 8 and can be written as equation B:

x - y = 8

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

x - y = 8
x = 8 + y

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

x + y = 92
8 + y + y = 92
8 + 2y = 92
2y = 84
y = 42

Now we know y is 42. Which means that we can substitute y for 42 in equation A and solve for x:

x + y = 92
x + 42 = 92
X = 50

Summary: The sum of two numbers is 92 and their difference is 8. What are the two numbers? Answer: 50 and 42 as proven here:

Sum: 50 + 42 = 92
Difference: 50 - 42 = 8

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The Sum of Two Numbers is 92 and Their Difference is 9
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