Let
be the two numbers. We have two pieces of information:
(the difference between the two numbers is 2)
(their product is 224)
From the first equation, we can deduce 
If we plug this expression in the second equation, we have

If you solve this equation with the usual quadratic formula you get the solutions

So, you have the following couple of solutions, recalling that x is 2 more than y:

Answer:
1. yes
2. no
3. yes
4. no
5. yes
Step-by-step explanation:
The method i use is if the number is not a fraction than it is an integer. besides 6 for some reason.
Here is the catch if the fraction can be simplified into a whole number than it is an integer.
Answer:
No, they both have a 2/6 (1/3) chance of spinning blue.
Answer:
1.0905
Step-by-step explanation: