The Sum of Two Numbers is 45 and Their Difference is 6

The sum of two numbers is 45 and their difference is 6. 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 45. In other words, x plus y equals 45 and can be written as equation A:

x + y = 45

The difference between x and y is 6. In other words, x minus y equals 6 and can be written as equation B:

x - y = 6

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

x - y = 6
x = 6 + y

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

x + y = 45
6 + y + y = 45
6 + 2y = 45
2y = 39
y = 19.5

Now we know y is 19.5. Which means that we can substitute y for 19.5 in equation A and solve for x:

x + y = 45
x + 19.5 = 45
X = 25.5

Summary: The sum of two numbers is 45 and their difference is 6. What are the two numbers? Answer: 25.5 and 19.5 as proven here:

Sum: 25.5 + 19.5 = 45
Difference: 25.5 - 19.5 = 6

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The Sum of Two Numbers is 45 and Their Difference is 7
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