The Sum of Two Numbers is 39 and Their Difference is 5

The sum of two numbers is 39 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 39. In other words, x plus y equals 39 and can be written as equation A:

x + y = 39

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 = 39
5 + y + y = 39
5 + 2y = 39
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 = 39
x + 17 = 39
X = 22

Summary: The sum of two numbers is 39 and their difference is 5. What are the two numbers? Answer: 22 and 17 as proven here:

Sum: 22 + 17 = 39
Difference: 22 - 17 = 5

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