The Sum of Two Numbers is 97 and Their Difference is 1

The sum of two numbers is 97 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 97. In other words, x plus y equals 97 and can be written as equation A:

x + y = 97

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 = 97
1 + y + y = 97
1 + 2y = 97
2y = 96
y = 48

Now we know y is 48. Which means that we can substitute y for 48 in equation A and solve for x:

x + y = 97
x + 48 = 97
X = 49

Summary: The sum of two numbers is 97 and their difference is 1. What are the two numbers? Answer: 49 and 48 as proven here:

Sum: 49 + 48 = 97
Difference: 49 - 48 = 1

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The Sum of Two Numbers is 97 and Their Difference is 2
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