The number of students studying in College A and B are in the ratio of 3:4. If 50 more students join College A and there is no change in the number of students in College B the ratio becomes 5:6 What is the number of students in College B ? ?->(Show Answer!)

1. The number of students studying in College A and B are in the ratio of 3:4. If 50 more students join College A and there is no change in the number of students in College B the ratio becomes 5:6 What is the number of students in College B ?

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By: anil on 05 May 2019 01.26 am

Let the number of students in college A and B be 3s and 4s respectively.
If 50 more students join college A, it will have 3s+50 students and the ratio with respect to college B will be 3s+50:4s
This ratio is equal to 5:6 Hence, $$frac{3s+50}{4s}=frac{5}{6}$$
Therefore, $$18s+300 = 20s$$ or $$s=150$$ Therefore, the number of students in college B equals $$4s=600$$

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