The Sum of Two Numbers is 97 and Their Difference is 8

The sum of two numbers is 97 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 97. In other words, x plus y equals 97 and can be written as equation A:

x + y = 97

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 = 97
8 + y + y = 97
8 + 2y = 97
2y = 89
y = 44.5

Now we know y is 44.5. Which means that we can substitute y for 44.5 in equation A and solve for x:

x + y = 97
x + 44.5 = 97
X = 52.5

Summary: The sum of two numbers is 97 and their difference is 8. What are the two numbers? Answer: 52.5 and 44.5 as proven here:

Sum: 52.5 + 44.5 = 97
Difference: 52.5 - 44.5 = 8

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The Sum of Two Numbers is 97 and Their Difference is 9
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