The Sum of Two Numbers is 21 and Their Difference is 8

The sum of two numbers is 21 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 21. In other words, x plus y equals 21 and can be written as equation A:

x + y = 21

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 = 21
8 + y + y = 21
8 + 2y = 21
2y = 13
y = 6.5

Now we know y is 6.5. Which means that we can substitute y for 6.5 in equation A and solve for x:

x + y = 21
x + 6.5 = 21
X = 14.5

Summary: The sum of two numbers is 21 and their difference is 8. What are the two numbers? Answer: 14.5 and 6.5 as proven here:

Sum: 14.5 + 6.5 = 21
Difference: 14.5 - 6.5 = 8

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The Sum of Two Numbers is 21 and Their Difference is 9
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