The Sum of Two Numbers is 49 and Their Difference is 3

The sum of two numbers is 49 and their difference is 3. 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 3. In other words, x minus y equals 3 and can be written as equation B:

x - y = 3

Now solve equation B for x to get the revised equation B:

x - y = 3
x = 3 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 49
3 + y + y = 49
3 + 2y = 49
2y = 46
y = 23

Now we know y is 23. Which means that we can substitute y for 23 in equation A and solve for x:

x + y = 49
x + 23 = 49
X = 26

Summary: The sum of two numbers is 49 and their difference is 3. What are the two numbers? Answer: 26 and 23 as proven here:

Sum: 26 + 23 = 49
Difference: 26 - 23 = 3

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The Sum of Two Numbers is 49 and Their Difference is 4
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