The Sum of Two Numbers is 89 and Their Difference is 7

The sum of two numbers is 89 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 89. In other words, x plus y equals 89 and can be written as equation A:

x + y = 89

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 = 89
7 + y + y = 89
7 + 2y = 89
2y = 82
y = 41

Now we know y is 41. Which means that we can substitute y for 41 in equation A and solve for x:

x + y = 89
x + 41 = 89
X = 48

Summary: The sum of two numbers is 89 and their difference is 7. What are the two numbers? Answer: 48 and 41 as proven here:

Sum: 48 + 41 = 89
Difference: 48 - 41 = 7

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