in a sport club 3/4 member like swimming 5/9 th badminton 34 like both 13 don't like both of them using venn digram find the total number who like only swimming
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Answer:
Let x be the total number of members in the club. As per the given information, Venn diagram is drawn and shown in figure.
Total number of members x is calculated as follows:
x = members playing only Badminton + members playing only lawn tennis + memebers playing both + memebers playing none of the games
x = [ (2/5)x-120 ] + [ (3/4)x-120 ]+120 +30(1)
Solving the above eqn.(1) for x, we get x = 600
Hence total number of members = 600
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