The Sum of Two Numbers is 65 and Their Difference is 4

The sum of two numbers is 65 and their difference is 4. 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 65. In other words, x plus y equals 65 and can be written as equation A:

x + y = 65

The difference between x and y is 4. In other words, x minus y equals 4 and can be written as equation B:

x - y = 4

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

x - y = 4
x = 4 + y

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

x + y = 65
4 + y + y = 65
4 + 2y = 65
2y = 61
y = 30.5

Now we know y is 30.5. Which means that we can substitute y for 30.5 in equation A and solve for x:

x + y = 65
x + 30.5 = 65
X = 34.5

Summary: The sum of two numbers is 65 and their difference is 4. What are the two numbers? Answer: 34.5 and 30.5 as proven here:

Sum: 34.5 + 30.5 = 65
Difference: 34.5 - 30.5 = 4

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The Sum of Two Numbers is 65 and Their Difference is 5
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