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39+36+45-(14+5+11)+0+none=100 ==>> none=10.

(because no information is given regarding all the three, I'm assuming it to be Zero)

I suppose this is the right answer. Kindly review and correct me if wrong. Thank you.
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nick1816
It's a very good problem.

Let 'x' pupil don't read any magazine and 'y' pupil read all 3 magazines

100-x= 39+36+45-14-11-5-2y
x=10+2y

We need to maximize the value of 'y' in order to maximize the value of x

y can be maximize when 11-y=0 or y=11
{If y were greater than 11, the pupil who read only magazine would be negative} You can clearly see that in the diagram below

The maximum number of pupils who do not like any of the magazines= 10+2*11=32

nick1816
How did you deduce this conclusion, what's the logic behind this
We need to maximize the value of 'y' in order to maximize the value of x
y can be maximize when 11-y=0 or y=11

Please help me explain how did you get This equation 11-y=0 or y=11 from?
Thank you
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