The Sum of Two Numbers is 51 and Their Difference is 5

The sum of two numbers is 51 and their difference is 5. 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 5. In other words, x minus y equals 5 and can be written as equation B:

x - y = 5

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

x - y = 5
x = 5 + y

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

x + y = 51
5 + y + y = 51
5 + 2y = 51
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 = 51
x + 23 = 51
X = 28

Summary: The sum of two numbers is 51 and their difference is 5. What are the two numbers? Answer: 28 and 23 as proven here:

Sum: 28 + 23 = 51
Difference: 28 - 23 = 5

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