Question

the sum of two numbers is 18 and their difference is 6. what are the two numbers?

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's call the two numbers A and B.

First, we know that the sum of the two numbers is 18, so we have the equation:

A + B = 18

Next, we know that the difference of the two numbers is 6, so we have the equation:

A - B = 6

Now we have a system of two equations with two variables. We can solve this system of equations by adding the equations together to eliminate B:

A + B = 18
A - B = 6

Adding the two equations together, we get:

2A = 24
A = 12

Now that we have the value of A, we can substitute it back into the first equation to find the value of B:

12 + B = 18
B = 18 - 12
B = 6

So, the two numbers are 12 and 6.