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Answer

“There were 50% more men than women… at first.”

This means that the ratio of men to women at first was 3 : 2.

“Now, there are 20% more women than men [in the end].”

This means the ratio of men to women in the end is 5 : 6.

  Men Women
Before 3 units 2 units
Change -100 +80
After 5 parts 6 parts

Multiple both columns by 6 and 5 respectively to get equal parts:

  Men Women
Before 18 units 10 units
Change -600 +400
After 30 parts 30 parts

18 units – 600 = 10 units +400
18 units – 10 units = 400 + 600
8 units = 1000
1 unit = 125
3 units = 375 men at first

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