In a Bilaspur sports club, the numbers playing only cricket, only football and only hockey are equal (y each), and 95 members play at least one game. How many members play football?

Question

Accepted Answer

47. Overlaps: 10 + 8 + 12 + 5 = 35, so 3y = 95 - 35 = 60 and y = 20. Football circle = 20 + 10 + 12 + 5 = 47. 20 is football only, 42 forgets the 5 in the centre, and 35 is the total of all the overlaps.

In a Bilaspur sports club, the numbers playing only cricket, only football and only hockey are equal $(y$ each), and 95 members play at least one game. How many members play football?

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