The Sum of Two Numbers is 49 and Their Difference is 1

The sum of two numbers is 49 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 49. In other words, x plus y equals 49 and can be written as equation A:

x + y = 49

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 = 49
1 + y + y = 49
1 + 2y = 49
2y = 48
y = 24

Now we know y is 24. Which means that we can substitute y for 24 in equation A and solve for x:

x + y = 49
x + 24 = 49
X = 25

Summary: The sum of two numbers is 49 and their difference is 1. What are the two numbers? Answer: 25 and 24 as proven here:

Sum: 25 + 24 = 49
Difference: 25 - 24 = 1

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The Sum of Two Numbers is 49 and Their Difference is 2
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