Aptitude - Problems on Numbers - Discussion

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

Answer: Option C

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?

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