1)

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 :


A) 380

B) 395

C) 400

D) 425

E) 450

Answer:

Option C

Explanation:

Let the numbers be $x$ and $y$. Then, $xy=9375$ and $\frac{x}{y}=15$.
$\frac{xy}{(x/y)} =\frac{9375}{15} \Leftrightarrow y^{2} = 625$
$\Leftrightarrow y = 25 \Rightarrow x = 15y = (15 \times 25)= 375$.
$\therefore$ Sum of the numbers $= 375 + 25 = 400$.