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GMAT Problem Solving (PS) | Re: 100 people are attending a newspaper conference. 45 of them

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This would be my approach,

there are 45 writers.. let that be; now lets say there are 38 editors, 'x' of whom are also writers, who are already accounted for as writers in that 45. So the number of editors who are not writers is (38-x).

Now the number of people who are neither writers or editors is 100 -[( No.of writers) + (No.of Editors who are not writers)] , and we know this is 2x

100 -[ 45 + ( 38 -x ) ] = 2x
x= 17
but since number of editors is MORE than 38, 'x' has to be less than 17,
so if we assume no.of editors is just 1 more at 39,
...

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