Find the numbers of students who play Cricket and Football together are how much more or less than number of students who play only Football.
Let students who play only Football be 20x. So, students who play only Badminton = 10x And, students who play only Cricket = 25x Now, students who play all 3 games together = 5x Now, students who play Cricket and Football but not Badminton = 7.5x And, students who play Football and Badminton together = 15x Now, students who play Football and Badminton but not Cricket = 10x Now, students who play both Cricket and Badminton together = 10x So, students who play Cricket and Badminton but not Football = 5x According to question, => 25x + 7.5x + 20x + 5x + 5x + 10x + 10x = 990 => x = 12 Students playing Cricket and Football together = 90 + 60 = 150 Required difference = 240 − 150 = 90
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