Question
In a library, the ratio of the number of Hindi books to
English books is 15:19. If the product of the number of books in these two languages is 114000, then find the difference between the number of English books and Hindi books.Solution
Let the number of Hindi books and English books be ‘15x’ and ‘19x’, respectively. According to the question, 15x × 19x = 114000 Or, 285x² = 114000 Or, x² = 400 Or, x = 20 (Since, ‘x’ cannot be negative in this case) Required difference = 19x – 15x = 4x = 4 × 20 = 80
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