The Sum of Two Numbers is 54 and Their Difference is 8

The sum of two numbers is 54 and their difference is 8. 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 54. In other words, x plus y equals 54 and can be written as equation A:

x + y = 54

The difference between x and y is 8. In other words, x minus y equals 8 and can be written as equation B:

x - y = 8

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

x - y = 8
x = 8 + y

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

x + y = 54
8 + y + y = 54
8 + 2y = 54
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 = 54
x + 23 = 54
X = 31

Summary: The sum of two numbers is 54 and their difference is 8. What are the two numbers? Answer: 31 and 23 as proven here:

Sum: 31 + 23 = 54
Difference: 31 - 23 = 8

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The Sum of Two Numbers is 54 and Their Difference is 9
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