Math, asked by palji1535, 1 year ago

Rs. 9000 were divided equally among a certain no. of persons. had there been 20 more persons, each would have got rs.160 less. find the original no. of perons.

Answers

Answered by Tarun233
2

Answer:

Step-by-step explanation:

Let x be the number of persons.

Assuming that,Rs 9000 has been divided equally among the persons. Each persons got=9000/x

If there were 20 more people , the amont pf money each got=9000/(x+20)

Given that 9000/(x+20)=9000/x -160

9000/x - 9000/(x+20)=160

(9000 (x+20)-9000x)/x (x+20)=160.

(9000x +180000 -9000x)/x(x+20) =160.

180000/x (x+20)=160.

1125=x (x+20)

x^2 +20x-1125=0.

X^2+45-25x - 1125=0.

X (x+45) -25 (x+45)=0.

(X+45) (x-25)=0

X+45=0 or x-25=0

X= -45 or x= 25.

The number of people cannot go in negative.

So the answer is x=25

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