The Sum of Two Numbers is 97 and Their Difference is 7

The sum of two numbers is 97 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 97. In other words, x plus y equals 97 and can be written as equation A:

x + y = 97

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 = 97
7 + y + y = 97
7 + 2y = 97
2y = 90
y = 45

Now we know y is 45. Which means that we can substitute y for 45 in equation A and solve for x:

x + y = 97
x + 45 = 97
X = 52

Summary: The sum of two numbers is 97 and their difference is 7. What are the two numbers? Answer: 52 and 45 as proven here:

Sum: 52 + 45 = 97
Difference: 52 - 45 = 7

Sum Difference Calculator
Do you want the answer to a similar problem? Enter the sum and difference here to find the two numbers:

The Sum of Two Numbers is 97 and Their Difference is 8
Using what you learned on this page, try to figure out the next problem on our list and then go here to check the answer.