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.