Question

In a class of 200 students who play cricket and hockey, the number of students who play neither of the games is 16 less than those who play both. The number of students who do not play cricket is 24 more than those who do not play hockey.

The number of students who play hockey is ___.

Answer 1

Consider 2 complement sets. So if the no of students not playing hockey =x. number of students not playing cricket = x+24

Students playing both =y. Students playing neither = y-16

x+ (x+24) -(y-16)+y=200

2x+40=200

x=80

x+24=104

Those who play hockey 200-80=120