The Sum of Two Numbers is 73 and Their Difference is 7

The sum of two numbers is 73 and their difference is 7. 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 73. In other words, x plus y equals 73 and can be written as equation A:

x + y = 73

The difference between x and y is 7. In other words, x minus y equals 7 and can be written as equation B:

x - y = 7

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

x - y = 7
x = 7 + y

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

x + y = 73
7 + y + y = 73
7 + 2y = 73
2y = 66
y = 33

Now we know y is 33. Which means that we can substitute y for 33 in equation A and solve for x:

x + y = 73
x + 33 = 73
X = 40

Summary: The sum of two numbers is 73 and their difference is 7. What are the two numbers? Answer: 40 and 33 as proven here:

Sum: 40 + 33 = 73
Difference: 40 - 33 = 7

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