Who's catch?
Logic
Level
2
Al, Dick, Jack and Tom were counting up the results of a day's fishing: Tom had caught more than Jack. Between them, Al and Dick had caught just as many as Jack and Tom. Al and Tom had not caught as many as Dick and Jack.
Who had caught the second most number of fishes?
Dick
Tom
Al & Tom caught equally
Dick & Jack caught equally
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1 solution
Given that Tom > Jack, (1)
Al + Dick = Jack + Tom (2)
Dick + Jack > Al + Tom
Add Al and Jack to eq.(2)
2 Al + Dick + Jack = 2 Jack + Tom + Al
Since Dick + Jack > Tom + Al, to equate the two sides, Al < Jack must be true.
Incorporating that into eq.(1) Tom> Jack > Al
Then in eq.(2) Al's is smaller than both Jack's & Tom's, so Dick's must be greater than both Jack & Tom in order to make up for Al and equate the two sides of the eq. (2). Finally, Dick> Tom> Jack> Al .