Question
Tue March 05, 2013 By:
 

rs9000 were divided equally among a certain number of persons.had there been 20 more persons each would have got Rs160 less.find the original no of persons?

Expert Reply
Tue March 05, 2013
Let the original number of persons be n.
9,000/n - 160 = 9,000/(n + 20)
(9,000 - 160n)/n = 9,000/(n + 20)
9,000n = 9,000n - 160n² + 180,000 - 3,200n
160n² - 180,000 + 3,200n = 0
n² + 20n - 1125 = 0
(n - 25)(n + 45) = 0
n = 25 or n = -45
But n cannot be negative. So, n = 25
Thus, the original number of persons is 25.
Home Work Help