The Sum of Two Numbers is 6 and Their Difference is 99

The sum of two numbers is 6 and their difference is 99. 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 6. In other words, x plus y equals 6 and can be written as equation A:

x + y = 6

The difference between x and y is 99. In other words, x minus y equals 99 and can be written as equation B:

x - y = 99

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

x - y = 99
x = 99 + y

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

x + y = 6
99 + y + y = 6
99 + 2y = 6
2y = -93
y = -46.5

Now we know y is -46.5. Which means that we can substitute y for -46.5 in equation A and solve for x:

x + y = 6
x + -46.5 = 6
X = 52.5

Summary: The sum of two numbers is 6 and their difference is 99. What are the two numbers? Answer: 52.5 and -46.5 as proven here:

Sum: 52.5 + -46.5 = 6
Difference: 52.5 - -46.5 = 99

Sum Difference Calculator
Do you want the answer to a similar problem? Enter the sum and difference here to find the two numbers:

The Sum of Two Numbers is 7 and Their Difference is 1
Using what you learned on this page, try to figure out the next problem on our list and then go here to check the answer.