# Rs. 6500 were divided equally among a certain number of persons. Had there bees 1 15 more persons, each would have got Rs. 30 less. Find the original number of persons.

Let x be the no. of person and y is amount taken by each person.

……(1)

when 15 more person appear then

……(2)

On solving both (1) and (2) equation

subtracting (2) from (1)

3250 = x2 + 15x

x2 + 15x – 3250 = 0

On applying Sreedhracharya formula

X = – 65 or X = 50

The persons are 50 (As positive values are only considered).

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