Answer:
1. Information is not sufficient
2. Information is not sufficient
Step-by-step explanation:
Question Modified
If a,b, and c are prime numbers, do (a+b) and c have a common factor that is greater than 1?
(1) a,b, and c are all different prime numbers
(2) c≠2
Explanation
1. Let's assume values of 1,3 and 5 to a, b, and c respectively
a + b = 1+3 = 4
4 and 5 do not have any common factor aside 1
Let's assume values of 1,3 and 2 to a,b and c respectively
a + b = 1+3 = 4
4 and 2 have a common factor of 2
So, the available information is not sufficient
2.
Let's assume values of 2,7 and 3 to a b and c response
a + b = 2 + 7 = 9
9 and 3 have a common factor of 3
Also, let's assume values of 2,7 and 5 to a, b and c
a + b = 2 + 7 = 9
9 and 5 do not have a common factor
So, the available information is also not sufficient to answer the question.
