Nilofer decides to distribute 200 chocolates equally to her students. But, 2 of her older students come and she has to redistribute the same chocolates to all of them now. Now, her present students get 5 chocolates lesser than what they were getting earlier. So, Nilofer's present students are:-

Let the total number of students earlier = n

After 2 old students comes, total number of students = n + 2

Given that,

total number of chocolates = 200

So, earlier, chocolate for each students = 200 / n

When 2 students joins, chocolate foe each students = 200 / n + 2

According to Question,

(200 / n) - 5 = 200 / (n + 2)

(n + 2) (200 - 5 n) = 200 n

5 n^2 + 10 n - 400 = 0

5 n^2 + 50 n - 40 n - 400 = 0

5 n ( n + 10 ) - 40 ( n + 10 ) = 0

n = 8

Thus number of students earlier = 8