Question

9000 were divided equally among a certain no.Of persons.Had there beeen 20 more persons each would have got 160 less.Find the original no. Of persons

Answer 1

Original number of persons—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
n² + 10n = 1,125 + 10²
n² + 10n = 1,125 + 100
(n + 10)² = 1,225
n + 10 = 35
n=25