The Sum of Two Numbers is 61 and Their Difference is 7

The sum of two numbers is 61 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 61. In other words, x plus y equals 61 and can be written as equation A:

x + y = 61

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 = 61
7 + y + y = 61
7 + 2y = 61
2y = 54
y = 27

Now we know y is 27. Which means that we can substitute y for 27 in equation A and solve for x:

x + y = 61
x + 27 = 61
X = 34

Summary: The sum of two numbers is 61 and their difference is 7. What are the two numbers? Answer: 34 and 27 as proven here:

Sum: 34 + 27 = 61
Difference: 34 - 27 = 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 61 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.