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 ?
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:
58 comments Page 3 of 6.
Ashok pathi said:
1 decade ago
Thanks @Rahaman.
Alamin said:
1 decade ago
Very good explanation @Raj.
Smooth kill said:
9 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.
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:
9 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.
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:
9 years ago
@Seema.
6 is quotient.
6 is quotient.
Abhishek Gupta said:
8 years ago
I can't understand this question, anyone can help me to solve this problem, please.
Vishan Dogra said:
8 years ago
Larger no is y.
y-x= 1365 ---> 1.
Divident =divisor * q+R.
y=x * 6 + 15,
Y=6x + 15 ---> 2
Substitute the value of eq 2 in 1.
6x + 15 - x = 1365,
5x + 15 = 1365,
5x = 1365-15,
x = 1350/5 = 270.
y-x= 1365 ---> 1.
Divident =divisor * q+R.
y=x * 6 + 15,
Y=6x + 15 ---> 2
Substitute the value of eq 2 in 1.
6x + 15 - x = 1365,
5x + 15 = 1365,
5x = 1365-15,
x = 1350/5 = 270.
Anudeep gajjala said:
6 years ago
Good explanation, Thanks @Jomon.
Sania prathi said:
6 years ago
Nice explanation @Jomon.
Yakula Nandini said:
2 weeks ago
270 is the correct answer.
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