The Sum of Two Numbers is 51 and Their Difference is 1

The sum of two numbers is 51 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 51. In other words, x plus y equals 51 and can be written as equation A:

x + y = 51

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 = 51
1 + y + y = 51
1 + 2y = 51
2y = 50
y = 25

Now we know y is 25. Which means that we can substitute y for 25 in equation A and solve for x:

x + y = 51
x + 25 = 51
X = 26

Summary: The sum of two numbers is 51 and their difference is 1. What are the two numbers? Answer: 26 and 25 as proven here:

Sum: 26 + 25 = 51
Difference: 26 - 25 = 1

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The Sum of Two Numbers is 51 and Their Difference is 2
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