The Sum of Two Numbers is 31 and Their Difference is 1

The sum of two numbers is 31 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 31. In other words, x plus y equals 31 and can be written as equation A:

x + y = 31

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 = 31
1 + y + y = 31
1 + 2y = 31
2y = 30
y = 15

Now we know y is 15. Which means that we can substitute y for 15 in equation A and solve for x:

x + y = 31
x + 15 = 31
X = 16

Summary: The sum of two numbers is 31 and their difference is 1. What are the two numbers? Answer: 16 and 15 as proven here:

Sum: 16 + 15 = 31
Difference: 16 - 15 = 1

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The Sum of Two Numbers is 31 and Their Difference is 2
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