Chuck can barely defeat, by himself alone, Sylvester and Steven together.

Sylvester and Chuck are a perfect match for Arnold and Steven.

But if Chuck and Arnold exchange places, Sylvester and Arnold together can decisively beat Chuck and Steven.

Who is stronger, who is weaker?

Let R=Rocky (Sylvester), C=Chuck, A=Arnold, S=Steven

We are given:
1)   C > R + S
2)   R + C = A + S
3)   R + A > C + S

From 1) we have

C > R 
C > S

Adding C to both sides of 3) we get
R + C + A > C + C + S

We can replace "R + C" with "A + S" based on 2), so we have
A + A + S > C + C + S

Subtracting S from both sides and dividing by 2 gives us

A>C

Now all we need is to know which is greater:  R or S

Adding R + S to both sides of 3) we get
R + A + S + R > S + R + C + S

From 2) we see we can subtract A + S from the left side of this equation and simultaneously subtract R + C from the right side.  Then, dividing both sides of the equation by 2 leaves us with

R > S

Putting our results together we have

A > C > R > S

So, from strongest to weakest:

Arnold, Chuck, Sylvester, Steven.

 

Posted by Mindrod on 2006-01-28 11:53:06