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In a class, ratio of number of boys to that of girls is 2 : 3. When three boys leave the class and 3 new girls join the class, the ratio becomes 3 : 7
Question

In a class, ratio of number of boys to that of girls is 2 : 3. When three boys leave the class and 3 new girls join the class, the ratio becomes 3 : 7. How many girls were there in the class initially ?

A.

6

B.

10

C.

12

D.

18

Correct option is D

Let the number of boys in the class = 2x
Let the number of girls in the class = 3x
When three boys leave the class and three new girls the class the new ratio will be

14x – 21 = 9x + 9
5x = 30
x = 6
Girls in the class initially = 6 = 18

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