9000 was divided equally among a certain number of person had there been 20 more person each would have got 160 rupees less find the original number of person
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Step-by-step explanation:
Let no of persons=x
each person gets=9000/ x Rs
If 20 more persons are there
Per [person=900/x+20
Given
9000/x-9000/(x+20) =160
9000*(x+20)-9000x=160*x(x+20)
9000(x+20-x)=160x(x+20)
900*20=16*x(x+20)
900*5=4x(x+20)
4500=4x²+80x
4x²+80x-4500=0
x²+20x-1125=0
x²+45x-25x-1125=0
x(x+45)-25(x+45)=0
(x+45)(x-25)=0
x=-45 or 25
x can not be negative so x=25
Thus No of persons=25
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