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 :

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 :
[A]380
[B]395
[C]400
[D]425

400
Let the numbers be x and y and x is greater than y.
As given, xy = 9375 …….. (I)
Again, \frac{x}{y} = 15
=> x = 15y
∴ From equation (I),
15y \times y = 9375
=> y^{2} = \frac{9375}{15} = 625
=> y = \sqrt{625} = 25
∴ x = 15y = 15 \times 25 = 375
∴ x + y = 375 + 25 = 400
Hence option [C] is right answer.

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