The Sum of Two Numbers is 26 and Their Difference is 1




The sum of two numbers is 26 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 26. In other words, x plus y equals 26 and can be written as equation A:

x + y = 26

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 = 26
1 + y + y = 26
1 + 2y = 26
2y = 25
y = 12.5


Now we know y is 12.5. Which means that we can substitute y for 12.5 in equation A and solve for x:

x + y = 26
x + 12.5 = 26
X = 13.5


Summary: The sum of two numbers is 26 and their difference is 1. What are the two numbers? Answer: 13.5 and 12.5 as proven here:

Sum: 13.5 + 12.5 = 26
Difference: 13.5 - 12.5 = 1



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The Sum of Two Numbers is 26 and Their Difference is 2
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