The Sum of Two Numbers is 19 and Their Difference is 8

The sum of two numbers is 19 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 19. In other words, x plus y equals 19 and can be written as equation A:

x + y = 19

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 = 19
8 + y + y = 19
8 + 2y = 19
2y = 11
y = 5.5

Now we know y is 5.5. Which means that we can substitute y for 5.5 in equation A and solve for x:

x + y = 19
x + 5.5 = 19
X = 13.5

Summary: The sum of two numbers is 19 and their difference is 8. What are the two numbers? Answer: 13.5 and 5.5 as proven here:

Sum: 13.5 + 5.5 = 19
Difference: 13.5 - 5.5 = 8

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The Sum of Two Numbers is 19 and Their Difference is 9
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