The Sum of Two Numbers is 57 and Their Difference is 1

The sum of two numbers is 57 and their difference is 1. 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 57. In other words, x plus y equals 57 and can be written as equation A:

x + y = 57

The difference between x and y is 1. In other words, x minus y equals 1 and can be written as equation B:

x - y = 1

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

x - y = 1
x = 1 + y

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

x + y = 57
1 + y + y = 57
1 + 2y = 57
2y = 56
y = 28

Now we know y is 28. Which means that we can substitute y for 28 in equation A and solve for x:

x + y = 57
x + 28 = 57
X = 29

Summary: The sum of two numbers is 57 and their difference is 1. What are the two numbers? Answer: 29 and 28 as proven here:

Sum: 29 + 28 = 57
Difference: 29 - 28 = 1

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 57 and Their Difference is 2
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.