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Friday, August 19, 2022

In a college, the ratio of boys to girls is 31 : 23 respectively. When 75 more girls join the college, this ratio becomes 124 : 107. How many more girls should join the college to make the number of boys and girls equal?

In a college, the ratio of boys to girls is 31 : 23 respectively. When 75 more girls join the college, this ratio becomes 124 : 107. How many more girls should join the college to make the number of boys and girls equal?
A75
B90
C60
D85

Correct answer is: 85

Explanation:

Let the number of boys initially = 31x

=> Number of girls = 23x

Acc to ques,

=31x23x+75=124107

= 3317x = 2852x + 9300

= 3317x - 2852x = 465x = 9300

x=9300465=20

=> Number of boys =  31×20=620

Number of girls = 23×20+75=535

 Number of girls who should join the college to make number of boys and girls equal

= 620 - 535

= 85

Nithin
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