in a team of player two third like football while one sixth of the remaining like cricket the rest 15 like hockey. how players are there in the team
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Step-by-step explanation:
Let the total no. of players in the team be x
Players like football=2/3× x
=2x/3
Remaining players= x- 2x/3
=3x-2x/3
=x/3
Players like cricket= 1/6×x/3
=x/18
Fraction of players like hockey= {x-(2x/3+x/18)}
={x-(12x+x/18)}
={x-13x/18}
={18x-13x/18}
=5x/18
Players like hockey=15
By condition,
5x/18=15
x=15×18/5
x=54
Ans- There are 54 players in the team.
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