Q. The product of two number is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is :
Answer: 400
Notes: Let the numbers be x and y and x is greater than y. As given, xy = 9375 …….. (I) Again, $latex \frac{x}{y} = 15&s=1$ $latex => x = 15y$ ∴ From equation (I), 15y $latex \times$ y = 9375 $latex => y^{2} = \frac{9375}{15} = 625&s=1$ $latex => y = \sqrt{625} = 25$ ∴ x = 15y = 15 $latex \times$ 25 = 375 ∴ x + y = 375 + 25 = 400 Hence option [C] is right answer.

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