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 1 of 6.

Megha said:   7 months ago
@All.

Now for example;

Take the number to be 54(example), then in units place we have 4 and in tens place we have 5
Separately,
x = 5
y = 4
For xth place 10*5=50
For yth place. +4
= 54
Hence 10*x + y ---->(1)
After interchanging in xth place we have y so,
10*y + x -----> (2)
So that's why we have 10.
(2)

Devshree vaidya said:   1 year ago
According to me.
The two-digit number I'll take is 10.
And subtract with 36.
So I'll get 26.
Then I have to find the difference between the two-digit number so I'll subtract 2-6 =4 so the answer is 4.
(8)

Udaya said:   3 years ago
The question is that interchanging position.

Where did they ask 10th digit place?

Please explain me.
(5)

Ayushi Nandy said:   3 years ago
Thanks everyone for explaining the answer.
(1)

Anoj said:   5 years ago
How can it solve using only one variable?
(1)

Jeevan said:   6 years ago
Here, it is given the number obtained by interchanging the position 2 digit number not 1 digit number like 93 - 39 = 36.
(3)

Haider alam said:   6 years ago
Let the unit place be x.

Ten =10x.
On interchanging position in difference.
10x-x=39,
9x=36,
x=36/9,
x = 4 answer.

Note : If we don't interchange the value of x will be -4.
(7)

Arpish said:   6 years ago
If in the question it is asked to find the 2 digit number, then how can we find it, can anyone explain?

Aakash said:   6 years ago
Say 1 no is 84.

Then interchanging it we will get 48.
Difference between these two number is 36.

So, the difference between the two digit will be 4.
(1)

Mayur said:   7 years ago
Thanks for the explanation.


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