The Sum of Two Numbers is 28 and Their Difference is 5

The sum of two numbers is 28 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 28. In other words, x plus y equals 28 and can be written as equation A:

x + y = 28

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 = 28
5 + y + y = 28
5 + 2y = 28
2y = 23
y = 11.5

Now we know y is 11.5. Which means that we can substitute y for 11.5 in equation A and solve for x:

x + y = 28
x + 11.5 = 28
X = 16.5

Summary: The sum of two numbers is 28 and their difference is 5. What are the two numbers? Answer: 16.5 and 11.5 as proven here:

Sum: 16.5 + 11.5 = 28
Difference: 16.5 - 11.5 = 5

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