Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 13)
13.
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
240
270
295
360
Answer: Option
Explanation:

Let the smaller number be x. Then larger number = (x + 1365).

x + 1365 = 6x + 15

5x = 1350

x = 270

Smaller number = 270.

Discussion:
57 comments Page 4 of 6.

Keerthy said:   9 years ago
Thanks @Vinni.

Ashok pathi said:   9 years ago
Thanks @Rahaman.

Sooraj Abi said:   9 years ago
Thanks for the explanation @Rahaman.

Venkat.k said:   9 years ago
Good explanation @Jomon.

Krish said:   8 years ago
Can we simply apply this,
x-y = 1365.
x\y = 6 (is it necessary to add remainder with it).

Pradeep chauhan said:   8 years ago
How you get x/y-15=6?

Tejas said:   8 years ago
Difference between two natural nos is 23. If we get quotient 2 on dividing the bigger no by the smaller no then find the nos.

Smooth kill said:   8 years ago
It's simple.

lets take the larger number = (x) and smaller number = (y)
the difference between them is 1365
x-y = 1365 ---------- equation 1.
we know dividend = quotient * divisor + remainder
here the larger number is divided by smaller number
hence we get ,
6x + 15 = y
arranging it we get
6x - y = -15 ----------- equation 2.
adding both equation and solving them we get
y = 270.

Raju reddy said:   8 years ago
Two numbers Difference is given I. e. 1365 one number =X(large) and another number(small)=Y.
X-Y=1365.

Large number divided by small number i.e
X/Y.....Y)X(6
/15

X=6Y+15 (above eqn. X-Y=1365then X=1365+Y).
1365+Y=6Y+15.
1365-15=6Y-Y i.e 1350=5Y.
Y=1350/5 i.e 270.

In problem asked smaller number that's why the ans is 270.

Udit said:   7 years ago
@Seema.

6 is quotient.


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