The Sum of Two Numbers is 11 and Their Difference is 1

The sum of two numbers is 11 and their difference is 1. 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 1. In other words, x minus y equals 1 and can be written as equation B:

x - y = 1

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

x - y = 1
x = 1 + y

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

x + y = 11
1 + y + y = 11
1 + 2y = 11
2y = 10
y = 5

Now we know y is 5. Which means that we can substitute y for 5 in equation A and solve for x:

x + y = 11
x + 5 = 11
X = 6

Summary: The sum of two numbers is 11 and their difference is 1. What are the two numbers? Answer: 6 and 5 as proven here:

Sum: 6 + 5 = 11
Difference: 6 - 5 = 1

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The Sum of Two Numbers is 11 and Their Difference is 2
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