90 members of a sport club plays at least one of the game tennis,football and volleyball,10 plays tennis and football,19 play football and volleyball and 29 plays tennis and volleyball.x people plays all the 3 games,while x people each play only one game how many play football and also how many plays football only

Answer 1

I tried using Venn diagrams.
enter x in the intersection of all three
10 play tennis and football, so enter 10-x in the intersection of tennis and football outside the intersection of all three
19 play football and volleyball, so enter 19-x in the intersection of football and volleyball outside the intersection of all three
29 play tennis and volleyball, so .....

Then you say that x people each play only one game, so I placed x in the part dealing only with that one sport
Now add them all up:
x + (10-x) + (29-x) + (19-x) + x+x+x = 90
x + 58 = 90
x = 32

which makes no sense,
e.g. 10-x would be negative

Something not right here, or else I am not interpreting it correctly.