# The ratio of the no. of men and women who attended a meeting is 3:5. After some time half the men and one third the women left. What is the ratio of men to women now?

$\\\text{let no. of men and women be }3x \text{ and } 5x \\\\ \text{After some time, } \\\\ \text{No. of men }= 3x-\frac{1}{2}\times3x=\frac{3}{2}x \\\\ \text{No. of women } =5x-\frac{1}{3}\times5x=\frac{10}{3}x \\\\ \text{Therefore, ratio will be }=\frac{9}{20}$

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