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-

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-Solution:Let the numbers be x and y. [x > y]Then, xy = 9375 andx/y = 15(xy)/(x/y) = 9375/15⇒ y2 = 625∴ y = 25Now,x = 15y = (15 × 25) = 375.Sum of the numbers = x + y = 375 + 25 = 400