The Sum of Two Numbers is 98 and Their Difference is 8

The sum of two numbers is 98 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 98. In other words, x plus y equals 98 and can be written as equation A:

x + y = 98

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 = 98
8 + y + y = 98
8 + 2y = 98
2y = 90
y = 45

Now we know y is 45. Which means that we can substitute y for 45 in equation A and solve for x:

x + y = 98
x + 45 = 98
X = 53

Summary: The sum of two numbers is 98 and their difference is 8. What are the two numbers? Answer: 53 and 45 as proven here:

Sum: 53 + 45 = 98
Difference: 53 - 45 = 8

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The Sum of Two Numbers is 98 and Their Difference is 9
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