Aptitude - Problems on Numbers - Discussion

Discussion Forum : Problems on Numbers - General Questions (Q.No. 3)
3.
The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
3
4
9
Cannot be determined
None of these
Answer: Option
Explanation:

Let the ten's digit be x and unit's digit be y.

Then, (10x + y) - (10y + x) = 36

9(x - y) = 36

x - y = 4.

Video Explanation: https://youtu.be/7QOJjAmGVx0

Discussion:
59 comments Page 3 of 6.

Nagma jabee said:   1 decade ago
Thanks @Nikhilesh and Isran.

Abhijit Kale said:   1 decade ago
Guys I agree to your explanation but I found a No. 73. If we reverse it we'll get a no 37. And difference between these two nos is 36.

And difference between digits of this no is 3. All these things matches the criteria of this question except my answer. Please rectify me if I am wrong.

Abdul kalam said:   1 decade ago
9x - 9y = 36.
x - y = 4.

How did you get 9?

Lakshmi g said:   10 years ago
Why we take 10 or something digit? They are no mention anything they are mention only 36 find only that one why we take.

Dennis joel said:   10 years ago
Do we have formulae for calculating this? Please tell me.

Daddi said:   9 years ago
Yes we have a separate formula for this type of problems.

Difference between two digits of two digit number is = (Difference in original and interchanged number)/ 9.

Vidhya said:   9 years ago
Instead of 10 can we take anyother number to get the actual answer?

Bhola nath mahakur said:   9 years ago
Thanks for the explanation.

Deepak Rawat said:   8 years ago
We cannot take : (10x+y)-(10y+x)=36 because if x or y = 0 then may it come under one digit number.

So,
let take : ((10x+10)+y)- ((10y+10)+x)=36 in this way if we put x or y 0. It give result two digit number.

Shreya said:   8 years ago
Thanks for the explantion.


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