Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one.After the withdrawal, how many students were enrolled in both G and L?
Started 3 months ago by Shashank in
Explanatory Answer
From condition 3, we get the above diagram
Condition 6 tells us p – 1 = 7. G-total = 17. G and something else = 10. G-only should be 7.
From condition 1, we get the above diagram. 
From condition 6, we can get the diagram.
From condition 4, we get the above diagram.
From condition 5,
Number of students in L = 4 + 5 + 8 + 6 – x = 23- x.
Number of students in K = 4 + 5 + 9 + x = 18 + x.
We know that 23 – x > 18 + x.
5 > 2x. x < 5252.
x could be 0, 1 or 2.
The other three should have opted out of one or the other of G and L. Let us assume m students
left G, 3 – m should have left L.
Let us rejig the diagram.
Total number of students in G = 17 – m.
Total number of students in L = 20 + m – x.
20 + m – x – (17 – m) = 3 + 2m – x = 6.
2m – x = 3. x can only take values 0, 1 and 2. 2m = 3 + x.
Or, x has to be 1. m has to be 2.
Both G and L = 7 – x = 6.
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