The Sum of Two Numbers is 69 and Their Difference is 7

The sum of two numbers is 69 and their difference is 7. 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 69. In other words, x plus y equals 69 and can be written as equation A:

x + y = 69

The difference between x and y is 7. In other words, x minus y equals 7 and can be written as equation B:

x - y = 7

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

x - y = 7
x = 7 + y

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

x + y = 69
7 + y + y = 69
7 + 2y = 69
2y = 62
y = 31

Now we know y is 31. Which means that we can substitute y for 31 in equation A and solve for x:

x + y = 69
x + 31 = 69
X = 38

Summary: The sum of two numbers is 69 and their difference is 7. What are the two numbers? Answer: 38 and 31 as proven here:

Sum: 38 + 31 = 69
Difference: 38 - 31 = 7

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