The Sum of Two Numbers is 11 and Their Difference is 7

The sum of two numbers is 11 and their difference is 7. 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 11. In other words, x plus y equals 11 and can be written as equation A:

x + y = 11

The difference between x and y is 7. In other words, x minus y equals 7 and can be written as equation B:

x - y = 7

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

x - y = 7
x = 7 + y

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

x + y = 11
7 + y + y = 11
7 + 2y = 11
2y = 4
y = 2

Now we know y is 2. Which means that we can substitute y for 2 in equation A and solve for x:

x + y = 11
x + 2 = 11
X = 9

Summary: The sum of two numbers is 11 and their difference is 7. What are the two numbers? Answer: 9 and 2 as proven here:

Sum: 9 + 2 = 11
Difference: 9 - 2 = 7

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The Sum of Two Numbers is 11 and Their Difference is 8
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