The Sum of Two Numbers is 69 and Their Difference is 1

The sum of two numbers is 69 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 69. In other words, x plus y equals 69 and can be written as equation A:

x + y = 69

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 = 69
1 + y + y = 69
1 + 2y = 69
2y = 68
y = 34

Now we know y is 34. Which means that we can substitute y for 34 in equation A and solve for x:

x + y = 69
x + 34 = 69
X = 35

Summary: The sum of two numbers is 69 and their difference is 1. What are the two numbers? Answer: 35 and 34 as proven here:

Sum: 35 + 34 = 69
Difference: 35 - 34 = 1

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The Sum of Two Numbers is 69 and Their Difference is 2
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