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Rani, who is y years old at present, is x years older than Hamid. Fifteen years ago, Hamid's age was 1/4 of the age of Rani. Which of the following is true ?1. 3y - 4x = 452. 2y - x = 153. \(\frac{y}{x} - 15 = \frac{1}{4}\)4. 3x - 4y = 45 |
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Answer» Correct Answer - Option 1 : 3y - 4x = 45 Given: The present age of Rani = y Rani is x year older than Hamid Fifteen years ago, Hamid's age was 1/4 of the age of Rani Calculation: Age of Hamid + x years = age of Rani Age of Hamid = age of Rani - x = y - x According to the question: Fifteen years ago, the age of Hamid = y - x - 15 Fifteen years ago, the age of Rani = y - 15 Hence, y - x - 15 = 1/4 × (y - 15) ⇒ 4y - 4x - 60 = y - 15 ⇒ 3y - 4x = 45 Hence option 1 is correct i.e. 3y - 4x = 45 |
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