The Sum of Two Numbers is 99 and Their Difference is 3

The sum of two numbers is 99 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 99. In other words, x plus y equals 99 and can be written as equation A:

x + y = 99

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 = 99
3 + y + y = 99
3 + 2y = 99
2y = 96
y = 48

Now we know y is 48. Which means that we can substitute y for 48 in equation A and solve for x:

x + y = 99
x + 48 = 99
X = 51

Summary: The sum of two numbers is 99 and their difference is 3. What are the two numbers? Answer: 51 and 48 as proven here:

Sum: 51 + 48 = 99
Difference: 51 - 48 = 3

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The Sum of Two Numbers is 99 and Their Difference is 4
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