The Sum of Two Numbers is 30 and Their Difference is 3

The sum of two numbers is 30 and their difference is 3. 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 30. In other words, x plus y equals 30 and can be written as equation A:

x + y = 30

The difference between x and y is 3. In other words, x minus y equals 3 and can be written as equation B:

x - y = 3

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

x - y = 3
x = 3 + y

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

x + y = 30
3 + y + y = 30
3 + 2y = 30
2y = 27
y = 13.5

Now we know y is 13.5. Which means that we can substitute y for 13.5 in equation A and solve for x:

x + y = 30
x + 13.5 = 30
X = 16.5

Summary: The sum of two numbers is 30 and their difference is 3. What are the two numbers? Answer: 16.5 and 13.5 as proven here:

Sum: 16.5 + 13.5 = 30
Difference: 16.5 - 13.5 = 3

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