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Aragorn the Great has boasted to his hordes of followers that many a notorious villain has...

Aragorn the Great has boasted to his hordes of followers that many a notorious villain has fallen to his awesome sword: His total of 700 victims consists of evil sorcerers, trolls, and orcs. These he has slain with a total of 800 mighty thrusts of his sword; evil sorcerers and trolls each requiring two thrusts (to the chest) and orcs each requiring one thrust (to the neck). When asked about the number of trolls he has slain, he replies, "I, the mighty Aragorn, despise trolls four times as much as I despise evil sorcerers. Accordingly, four times as many trolls as evil sorcerers have fallen to my sword!" How many of each type of villain has he slain?

sorcerers    
trolls    
orcs    
Math   Statistics-And-Probability   
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