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.
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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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