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Question 101
The ratio between the boys and girls in a class is 6:5 respectively .If 8 more boys join the class and two girls leave the class then the respective ratio becomes 11:7.What is the number of boys in the class now ?
Solution
Let the no. of boys and girls be b, g respectively,
We have b/g=6/5,
(b+8)/g-2=11/7,
7b+56=11g-22
but b=6g/5 or g=5b/6
so, 7b+56=55b/6-22
13b/6=78
Solve for b we get 36 , Hence
present boys are b+8=44.
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