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?
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 2 of 6.
Shreya said:
7 years ago
Thanks for the explantion.
Tanya said:
8 years ago
(10x + y) - (10y + x) = 36.
Will someone explain to me why we equalize it with 36?
Is it because it is stated, "the number obtained by interchanging the positions of its digits is 36".
Then please explain me the question " What is the difference between the two digits of that number"?
Will someone explain to me why we equalize it with 36?
Is it because it is stated, "the number obtained by interchanging the positions of its digits is 36".
Then please explain me the question " What is the difference between the two digits of that number"?
(1)
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.
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.
Bhola nath mahakur said:
8 years ago
Thanks for the explanation.
Vidhya said:
8 years ago
Instead of 10 can we take anyother number to get the actual answer?
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.
Difference between two digits of two digit number is = (Difference in original and interchanged number)/ 9.
Dennis joel said:
9 years ago
Do we have formulae for calculating this? Please tell me.
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.
Banasree Debbarma said:
9 years ago
How does 10x, y, 36 come?
Kama gupta said:
9 years ago
By trick,
For difference = d/9 and for sum = s/11.
So,
Difference = 36/9 = 4 (answer).
For difference = d/9 and for sum = s/11.
So,
Difference = 36/9 = 4 (answer).
(2)
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