₹7500 were divided equally among a certain number of children. Had there been 20 less children, each would have received ₹100 more. Find the original number of children.

Topic: Quadratic word problems

Previous-year question practice database

Answer

Exam answer

x = 50

Explanation

Let the original number of children be x. ∴ each one gets 7500 x When 20 children less, each would get 7500 x−20 7500 x − 20 − 7500 x = 100 ⇒ x2 − 20x − 1500 = 0 ⇒ (x − 50)(x + 30) = 0 ∴ x = 50

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