The sum of two numbers is 14 and their difference is 6. 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 14. In other words, x plus y equals 14 and can be written as equation A:

**x + y = 14**

The difference between x and y is 6. In other words, x minus y equals 6 and can be written as equation B:

**x - y = 6**

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

**x - y = 6**

x = 6 + y

x = 6 + y

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

**x + y = 14**

6 + y + y = 14

6 + 2y = 14

2y = 8

y = 4

6 + y + y = 14

6 + 2y = 14

2y = 8

y = 4

Now we know y is 4. Which means that we can substitute y for 4 in equation A and solve for x:

**x + y = 14**

x + 4 = 14

X = 10

x + 4 = 14

X = 10

Summary: The sum of two numbers is 14 and their difference is 6. What are the two numbers? Answer: 10 and 4 as proven here:

**Sum: 10 + 4 = 14**

Difference: 10 - 4 = 6

Difference: 10 - 4 = 6

**Sum Difference Calculator**

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**The Sum of Two Numbers is 14 and Their Difference is 7**

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