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Tug of War (Posted on 2006-01-27) Difficulty: 2 of 5
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?

See The Solution Submitted by Federico Kereki    
Rating: 1.6667 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
No Subject | Comment 9 of 12 |

i use the term B her to indicate 'barely'

so from the first we have

C = Sy + St - B

moving to the second and substituting

Sy + ( Sy + St - B) = A + St

A= 2Sy - B

Sy + A > C + St

Sy + (2Sy - B) > ( Sy + St - B) + St

3Sy - B > Sy +2St - B

2Sy > 2St

Sy > St  ie. Sylvester is stronger thaN sTEVE

now since

C = Sy + St - B

and

A = 2 Sy - B

A is stronger than C because Sy is Stronger than St

Since C = Sy + St - B, C is stronger than both individually

so

we have

Arnold is stronger than everyone

C is stronger than Sy and St

Sy is stronger than St

St is weaker than everyone

Sy is weaker than C & A

and C is weaker than A

 


  Posted by mickey on 2006-01-29 18:24:22
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