The sum of two numbers is 40 and their difference is 11. 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 40. In other words, x plus y equals 40 and can be written as equation A:

**x + y = 40**

The difference between x and y is 11. In other words, x minus y equals 11 and can be written as equation B:

**x - y = 11**

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

**x - y = 11**

x = 11 + y

x = 11 + y

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

**x + y = 40**

11 + y + y = 40

11 + 2y = 40

2y = 29

y = 14.5

11 + y + y = 40

11 + 2y = 40

2y = 29

y = 14.5

Now we know y is 14.5. Which means that we can substitute y for 14.5 in equation A and solve for x:

**x + y = 40**

x + 14.5 = 40

X = 25.5

x + 14.5 = 40

X = 25.5

Summary: The sum of two numbers is 40 and their difference is 11. What are the two numbers? Answer: 25.5 and 14.5 as proven here:

**Sum: 25.5 + 14.5 = 40**

Difference: 25.5 - 14.5 = 11

Difference: 25.5 - 14.5 = 11

**Sum Difference Calculator**

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**The Sum of Two Numbers is 40 and Their Difference is 12**

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