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Suptisree Biswas
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Asked: 2024-07-10T23:51:45+05:30 In:

In a class of 50 students, 15 do not participate in any games and the rest play at least one of two games Hockey or Kabaddi. 25 play Hockey and 20 play Kabaddi. Find the number of students who play both.

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0%45 ( 0 voters )
100%10 ( 2 voters )
0%15 ( 0 voters )
0%30 ( 0 voters )
Based On 2 Votes

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In a class of 50 students, 15 do not participate in any games and the rest play at least one of two games Hockey or Kabaddi. 25 play Hockey and 20 play Kabaddi. Find the number of students who play both.

1 Answer

  1. Suptisree Biswas
    Knowledge Contributor
    In a class of 50 students, 15 do not participate in any games and the rest play at least one of two games Hockey or Kabaddi. 25 play Hockey and 20 play Kabaddi. Find the number of students who play both.

    a + b + c = 50 – 15 = 35
    a + b = 25
    b + c = 20
    Therefore, a + b + b + c = 45
    => a + 2b + c = 45
    Therefore, b = (a + 2b + c) – ( a + b +c)
    = 45 – 35
    = 10
    Answer: The number of students who play both is 10.

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