Question

# The ratio between the number of men and women in a society is 31 : 23 , When 75 more women are added in the society, this ratio becomes 124 : 107 . How many more women should be added in the society in order to make the number of men and women be equal?

A

85

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B

105

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C

125

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D

145

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E

None

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Solution

## The correct option is A 85 3123 + 75 = 124107 3317x = 2852x + 9300 465x = 9300 x = 20 . So , the number of women in society after added =20×23+75 = 535 . So , the number of men in society after added =31×20 = 620 . Number of more women is = 620 - 535 = 85 .

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