Question

i am the greatest common factor of two numbers whose sum is 24 and whose difference is 6. what are the two numbers? what number am I?

Answer 1

The two numbers are 15 and 9, and the greatest common factor is 3.

Step-by-step explanation:

To find the two numbers, let's set up a system of equations. Let x and y represent the two numbers. From the given information, we can set up the following equations:

x + y = 24

x - y = 6

To solve this system, we can use the method of substitution or elimination. Let's use the method of elimination. Adding the two equations together, we get 2x = 30. Dividing both sides by 2, we find that x = 15. Substituting this value back into one of the original equations, we find that y = 9.

So, the two numbers are 15 and 9, and the greatest common factor is 3.