\(100\) people are attending a newspaper conference. \(45\) of them are writers and more than \(38\) are editors. Of the

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\(100\) people are attending a newspaper conference. \(45\) of them are writers and more than \(38\) are editors. Of the people at the conference, \(x\) are both writers and editors, and \(2x\) are neither. What is the largest possible number of people who are both writers and editors?

A. 6
B. 16
C. 17
D. 33
E. 84

Answer: B

Source: Manhattan GMAT
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