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.

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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