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 :

Let the numbers be x and y.

Then, xy = 9375 and  x/y = 15.

$\frac{xy}{\frac{x}{y}}=9375/15$

=> $y2 =625$

=> y = 25

=> x = 15y = 15 x 25 = 375.

Sum of the numbers = 375 + 25 = 400.