Question
Two positive integers are 3 units apart on a number line. Their product is 108.
Answers
GPT 3.5
Let's call the two positive integers x and y.
Since the two integers are 3 units apart, we can set up the following equation:
|x - y| = 3
Given that the product of the two integers is 108, we can also set up the equation:
x * y = 108
We can now find the possible values for x and y by solving the system of equations. One possible solution is x = 12 and y = 9, as they are 3 units apart and their product is indeed 108.
Since the two integers are 3 units apart, we can set up the following equation:
|x - y| = 3
Given that the product of the two integers is 108, we can also set up the equation:
x * y = 108
We can now find the possible values for x and y by solving the system of equations. One possible solution is x = 12 and y = 9, as they are 3 units apart and their product is indeed 108.