# Aptitude - Problems on Numbers - Discussion

Discussion Forum : 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:
380
395
400
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.

Discussion:
12 comments Page 1 of 2.

Paties said:   9 years ago
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.

(2)

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.

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.

Nihal said:   6 years ago
Here it is given that 15 is the quotient. So how it is coming x/y=15?
(1)

Rupika said:   10 years ago
Larger number is divided by small one that's why 9375/15 = 625 (25).

I don't understand why xy is been divided by x/y in the solution.

I can't understand why again x=15y is calculated?

25*15=375. Once again when you add 25 its 400.

Sujit das said:   8 years ago
9375 / 15 = 625.

625 - 15 * 15 = 400.
(2)

Hina said:   8 years ago
@Paties.

Thanks for full explanation.