Q. 44

300 apples are distributed equally among a certain number of students. Had there been 10 more students, each would have received one apple less. Find the number of students.

Answer :

Let x be the no. of students and y is the number of apples taken by each person.


––––––(1)


when 10 more students appear then,


–––––(2)


On solving both (1) and (2) equation


subtracting (2) from (1)





3000 = x2 + 10x


x2 + 10x – 3000 = 0


On applying Sreedhracharya formula







X = – 60 or X = 50


The number of students are 50. (as only positive values are considered).


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