Bob and Ray are describing the same number. bob says the number is a positive even integer less than or equal to 20. Ray says the number is divisible by 4. If bobs statement is true, and Rays statement is false what are all the possible numbers? PLEASE HELP I need the answer by tomorrow Im so confuse I don't know how to start. Thank you!

20/4=5

16/4=4
12/4=3
8/4=2
4/4=1
So we know it is none of these.
Now we are just using even numbers not equal to these.
So, 18, 14, 10, 6, 2!!

To determine the possible numbers that satisfy the given conditions, we need to consider the information provided by Bob and Ray.

Let's analyze the statements:

1. Bob says the number is a positive even integer less than or equal to 20.

This means the number could be any positive even integer between 1 and 20, inclusive. So the possible numbers satisfying Bob's statement are: 2, 4, 6, 8, 10, 12, 14, 16, 18, and 20.

2. Ray says the number is divisible by 4.

Ray's statement contradicts Bob's statement, so it must be false. This means the number should not be divisible by 4.

Therefore, we need to exclude the numbers from the list we obtained earlier that are divisible by 4.

The numbers that are divisible by 4 from the list are: 4, 8, 12, 16, and 20.

So, considering the condition stated by Ray, we can eliminate these numbers from our list.

Therefore, the possible numbers that satisfy both Bob and Ray's statements are: 2, 6, 10, 14, and 18.

To recap, the possible numbers that satisfy the given conditions (Bob's statement is true, and Ray's statement is false) are: 2, 6, 10, 14, and 18.