Discussion

The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:

Answer: C

Let the numbers be x and y, with x > y.

Given: xy = 9375 and x/y = 15 => x = 15y.

Substitute x in the first equation: (15y)y = 9375 => 15y² = 9375 => y² = 625 => y = 25.

Now find x: x = 15y = 15 × 25 = 375.

The sum of the numbers is x + y = 375 + 25 = 400.

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