Question

rupees 9000 is distributed among 3 friends in such manner that the second friend gets twice the amount of first friend gets exactly the half of the total amount of the first two friends callculat how much money each of them will get
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Answer 1

is your answer

explanation

Let x be the number of persons .

Assuming that, rupees 9000 has been divided equally among the persons,each person got 9000 divided by x

if there were 20 more person the amount of money each got =9000 divided by x+20

Given that 9000 divided by ×+20 =9000 upon x -160=9000 upon x -9000upon ×+20 =160.

(9000×+20)-9000x divided by ×(×+20)=160.

9000× + 180000-9000x divided by x(×+20) is 160 .

18000 divided byx ( x+20) is 160 .

1125=x(x+20)

x square +20x -1125=0

x square +45 x -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

Number of persons cannot be negative and hence,=25

thus the money rupees 9000 has been divided among 25 persons.

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