# 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
Answer: Option
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.

Shailesh said:   1 decade ago
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:   1 decade ago
25*15=375. Once again when you add 25 its 400.

Sonakshi said:   1 decade ago
I don't understand why xy is been divided by x/y in the solution.

Sangee said:   1 decade ago
I can't understand why again x=15y is calculated?

Surya said:   1 decade ago
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:   10 years ago
Why did you guys did xy/X/Y?

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

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.

Answer is 400.
(2)

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

625 - 15 * 15 = 400.
(2)

Tanishqa said:   8 years ago
Nice explanation @Surya.

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