The Sum of Two Numbers is 51 and Their Difference is 3

The sum of two numbers is 51 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 51. In other words, x plus y equals 51 and can be written as equation A:

x + y = 51

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 = 51
3 + y + y = 51
3 + 2y = 51
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 = 51
x + 24 = 51
X = 27

Summary: The sum of two numbers is 51 and their difference is 3. What are the two numbers? Answer: 27 and 24 as proven here:

Sum: 27 + 24 = 51
Difference: 27 - 24 = 3

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The Sum of Two Numbers is 51 and Their Difference is 4
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