# Rs 9000 were divided equally among a certain number of persons Had there been 20 persons more each would have got 160 less find original Number of persons

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by RUTVI1

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by RUTVI1

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9000 were equally divided among certain people= 9000/n

9,000/n - 160 = 9,000/(n + 20)

(9,000 - 160n)/n = 9,000/(n + 20)

9,000n = 9,000n - 160n^2 + 180,000 - 3,200n

n^2 + 10n = 1,125 + 10^2

n^2 + 10n = 1,125 + 100

(n + 10)^2 = 1,225

n + 10 = 35

n = 35-10