What is the sum of 17 and a difference of 5

The answer is 12.

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Step-by-step explanation:

The sum of two numbers is 17 and their difference is 5. 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 17. In other words, x plus y equals 17 and can be written as equation A:

x + y = 17

The difference between x and y is 5. In other words, x minus y equals 5 and can be written as equation B:

x - y = 5

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

x - y = 5

x = 5 + y

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

x + y = 17

5 + y + y = 17

5 + 2y = 17

2y = 12

y = 6

Now we know y is 6. Which means that we can substitute y for 6 in equation A and solve for x:

x + y = 17

x + 6 = 17

X = 11

Summary: The sum of two numbers is 17 and their difference is 5. What are the two numbers? 11 and 6 as proven here:

Sum: 11 + 6 = 17

Difference: 11 - 6 = 5

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step-by-step explanation: