Hi Ritik D,
Can you please elaborate on your approach to how you get this equation d+2t = 146 so that I can clarify your doubt in a better way? Also, here, the notation used is for s = I, d = II and for t = III and f = IV
You can use any notation. Regards

the information given in the question,
58 plays F+T
25 C+T
63 F+C

Hi Ritik,
Yes, F+T =58, C+T = 5 and F+C = 63, but when you add all these, there might be some cases where some of them played all three games. So we can't write it as d+2t = 146 (Some cases of repetition are valid, if some play all three games)
We assume the number of members who can play exactly 1 game = S

The number of members who can play exactly 2 games = D

The number of members who can play exactly 3 games = T

S+2D+3T=144+123+132=399....(1)

S+D+T=256......(2)

=> D+2T=143.....(3) (By subtracting 1 from 2)

Also, D + 3T =58+25+63=146 ......(4)

=> T = 3 (From 3 and 4)

=> D =137

=> S = 116
Thus, we see 3 people play all three games.

The members who play only tennis = 123-58-25+3 = 43
I hope this helps!