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.

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

How did you get 9?

Bhupathi raj said:   10 years ago
Anymore shortcut. The answer complete only two steps please explain.

Banasree Debbarma said:   9 years ago
How does 10x, y, 36 come?

Lakshmi g said:   9 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:   9 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:   8 years ago
Instead of 10 can we take anyother number to get the actual answer?

Bhola nath mahakur said:   8 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:   7 years ago
Thanks for the explantion.


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