Step-by-step explanation:

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 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

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

x + y = 40

6 + y + y = 40

6 + 2y = 40

2y = 34

y = 17

Now we know y is 17. Which means that we can substitute y for 17 in equation A and solve for x:

x + y = 40

x + 17 = 40

X = 23

Summary: The sum of two numbers is 40 and their difference is 6. What are the two numbers? Answer: 23 and 17 as proven here:

Sum: 23 + 17 = 40

Difference: 23 - 17 = 6

Answer:

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The Sum of Two Numbers is 40 and Their Difference is 6

Sum Difference

The sum of two numbers is 40 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 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 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

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

x + y = 40

6 + y + y = 40

6 + 2y = 40

2y = 34

y = 17

Now we know y is 17. Which means that we can substitute y for 17 in equation A and solve for x:

x + y = 40

x + 17 = 40

X = 23

Summary: The sum of two numbers is 40 and their difference is 6. What are the two numbers? Answer: 23 and 17 as proven here:

Sum: 23 + 17 = 40

Difference: 23 - 17 = 6