Initially, the men and women in a room were in the ratio of \(4:5.\) Then, \(2\) men entered the room and \(3\) women

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Initially, the men and women in a room were in the ratio of \(4:5.\) Then, \(2\) men entered the room and \(3\) women left the room. Then, the number of women doubled. Now there are \(14\) men in the room. How many women are currently in the room?

A. 12
B. 14
C. 15
D. 24
E. 36

Answer: D

Source: Manhattan GMAT