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Aptitude - Problems on Numbers - Discussion

@ : Home > Aptitude > Problems on Numbers > General Questions - Discussion

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"You cannot shake hands with a clenched fist."
- Indira Gandhi
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?

[A]. 3[B]. 4
[C]. 9[D]. Cannot be determined
[E]. None of these

Answer: Option D

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.


Mahantesh said: (Thu, Jun 24, 2010 03:30:20 AM)    
 
(10x + y) - (10y + x) = 36

Mahant said: (Thu, Jun 24, 2010 03:39:17 AM)    
 
Then, (10x + y) - (10y + x) = 36
simlify this

Venkat said: (Tue, Nov 30, 2010 12:11:25 AM)    
 
9x-9y=36
9(x-y)=36
x-y=4.

Priya P. said: (Thu, Dec 2, 2010 09:59:49 AM)    
 
Thanks.. Venkat

Manasa said: (Wed, Jul 13, 2011 12:07:21 PM)    
 
Explain this step : (10x + y) - (10y + x) = 36

How 10x+y got ?

Bhupendra said: (Wed, Jul 20, 2011 10:08:20 PM)    
 
Why would we take 10 we can take 15 or other no also ?

Shu said: (Thu, Jul 21, 2011 05:23:42 PM)    
 
Why have they taken 10 only why not 9 or 4?

Punit Mandelia said: (Mon, Aug 1, 2011 05:16:48 PM)    
 
Actually it indicates the place, the order of place is hundred tens and unit place. So when we are talking about interchanging digit we are writing in place as we are interchanging there place. Got it.?

Jisha said: (Wed, Aug 3, 2011 12:44:33 PM)    
 
Please explain properly step by step.

Meghna Jain said: (Fri, Sep 16, 2011 02:26:26 PM)    
 
Please explain in simple form.

Aravind said: (Sat, Jan 14, 2012 10:20:54 AM)    
 
Actually here we taken as 2 digit number.
i.e, 10*digit1 + digit2 = two-digit number.
inter changing.i.e, digit2*10 + digit1 = two-digit number.
difference b/w two-digit number & after inter changing that two-digit number is equal to 36.
say digit1=x,digit2=y,
then, (10x+y)-(10y+x)=36,

We get x-y=4.

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