The Sum of Two Numbers is 66 and Their Difference is 1

The sum of two numbers is 66 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 66. In other words, x plus y equals 66 and can be written as equation A:

x + y = 66

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 = 66
1 + y + y = 66
1 + 2y = 66
2y = 65
y = 32.5

Now we know y is 32.5. Which means that we can substitute y for 32.5 in equation A and solve for x:

x + y = 66
x + 32.5 = 66
X = 33.5

Summary: The sum of two numbers is 66 and their difference is 1. What are the two numbers? Answer: 33.5 and 32.5 as proven here:

Sum: 33.5 + 32.5 = 66
Difference: 33.5 - 32.5 = 1

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The Sum of Two Numbers is 66 and Their Difference is 2
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