# Aptitude - Problems on Numbers - Discussion

### Discussion :: Problems on Numbers - General Questions (Q.No.11)

11.

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

Explanation:

Let the numbers be x and y.

 Then, xy = 9375 and x = 15. y

 xy = 9375 (x/y) 15 y2 = 625. y = 25. x = 15y = (15 x 25) = 375. Sum of the numbers = x + y = 375 + 25 = 400.

 Shailesh said: (Aug 3, 2011) Since units place of product has 5, B and D can be easily ruled out. Now 9375/15 is 625 which is nothing but 25 sq. Hence one of the no. is surely 25 and other no. is 25 * 15 = 275. Hence 380 is also ruled out.

 Harish said: (Jun 8, 2012) 25*15=375. Once again when you add 25 its 400.

 Sonakshi said: (Sep 17, 2012) I don't understand why xy is been divided by x/y in the solution.

 Sangee said: (Sep 10, 2013) I can't understand why again x=15y is calculated?

 Surya said: (Sep 24, 2013) Given that, xy = 9375, x/y = 15. x = 15y. 15y*y = 9375. y^2 = 9375/15. y = 25 so x = 15y = 15*25 = 375. x+y = 400.

 Abhi said: (Jul 11, 2014) Why did you guys did xy/X/Y?

 Rupika said: (Oct 15, 2014) Larger number is divided by small one that's why 9375/15 = 625 (25).

 Paties said: (Nov 19, 2014) Let the numbers be x and y. Given that, x*y = 9375 &...... Equation 1. x/y =15.....Equation 2. x = 15y.... Equation 1. Putting the value of x in equation 1. => 15*y*y = 9375. => 15y^2 = 9375. => y^2 = 9375/15. => y^2 = 625. => y = 25. Putting the value of y in equation 2. Now we get, x/25 = 15. x = 15*25. x = 375. Sum of x+y is = 375 + 25 = 400. Answer is 400.

 Sujit Das said: (Mar 30, 2016) 9375 / 15 = 625. 625 - 15 * 15 = 400.

 Tanishqa said: (Jun 1, 2016) Nice explanation @Surya.

 Hina said: (Jul 25, 2016) @Paties. Thanks for full explanation.

 Nihal said: (Dec 5, 2017) Here it is given that 15 is the quotient. So how it is coming x/y=15?