Question

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. $425$

Answer 1

The correct option is C $400$

Let the two numbers be $x,y$ with $x>y$.

Then by the problem,

$xy=9375$........(1).

And

$\frac{x}{y}=15$

or, $x=15y$.......(2).

Now using (2) in (1) we get,

$15y^2=9375$

or, $y^2=625$

or, $y=25$ [Taking the positive one]

The $x=15\times 25=375$.

Now $x+y=375+25=400$