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?

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105

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125

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None

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Solution

The correct option is A
85

$\frac{31}{23}$ + 75 = $\frac{124}{107}$

3317x = 2852x + 9300

465x = 9300

x = 20 .

So , the number of women in society after added

$= 20 \times 23 + 75$

= 535 .

So , the number of men in society after added

$= 31 \times 20$

= 620 .

Number of more women is = 620 - 535 = 85 .

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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?

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 .