Question

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

Answer 1

Hey!

Let the two numbers be x and y.
Where x>y.

As given in the question,

x*y=9375. (Equation 1)

x/y=15.

So we have to find x+y.

x/y=15.

=>x=15*y=15y. Putting value of y in equation 1

x*y =9375.


=>15y*y= 9375.

=>y^2= 9375/15= 625.

=>y=√625= 25.

So x = 15y= 15*25=375.

So x+y= 375+25=400.

Hope it helps.