Quantity I: A bag contains x green balls, 7 blue balls, and 8 red balls. Two balls are drawn randomly from the bag. The probability that one ball is g...
Question
Quantity I: A bag contains x green balls, 7 blue balls, and 8 red balls. Two balls are drawn randomly from the bag. The probability that one ball is green and the other is red is given as . Find the value of x (where x cannot exceed 18).
Quantity II: A cistern has two pipes: one fills it in 15 hours, and the other empties it in 12 hours. If both pipes are opened simultaneously when of the cistern is already full, in how many hours will the cistern be completely emptied?
Compare Quantity I and Quantity II: