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 6 of 6.

Sana said:   1 decade ago
@Ashwini why you consider 23 only as example?

Gadha said:   1 decade ago
Difference of 2 number is 1365 and if add 1365 to that a number (x+1365) is equal to other number that is = (6x+15).

2. How can find it biggest or smaller so that you can figure it if you add something to smaller than it become equal to other number x+1365=6x+15.

Sesi said:   1 decade ago
Please explain in any other way.

Sangeetha said:   1 decade ago
a-b = 1365.
a/b = Q => 6 and 15 as R.

(b*6)+15 = a.
(b*6)+15 = 1365+b.

(b*6) - b = 1350.
6b-b = 1350.

5b = 1350.
b = 270.

Rnvardhini said:   10 years ago
All explanation is very good. Thanks to all. @Rahaman your formal also nice.

Sandy said:   9 years ago
The solution is wrong it doesn't satisfy the condition.

As per solution smaller number is 270 so, when you divide larger number i.e. (1365 - 270 = 1095).
Then, 1095/270 is not equal to 6.

Shoeb said:   1 decade ago
Why the larger no is added. since there is a difference of two numbers in question.


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