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Aptitude - Problems on Numbers - Discussion

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

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"Actions speak louder than words."
- (Proverb)
6. 

The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?

[A]. 69[B]. 78
[C]. 96[D]. Cannot be determined
[E]. None of these

Answer: Option E

Explanation:

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

Then, x + y = 15 and x - y = 3   or   y - x = 3.

Solving x + y = 15   and   x - y = 3, we get: x = 9, y = 6.

Solving x + y = 15   and   y - x = 3, we get: x = 6, y = 9.

So, the number is either 96 or 69.

Hence, the number cannot be determined.


Ramyasri said: (Sun, Dec 5, 2010 12:16:24 AM)    
 
Take options verification we take 69 as number
6+9=15
6-9=3

Solve it we get 12=15 its not correct

If we take 96 as number

9+6=15
9-6=3

Solve it we get 18=18.

I think its is 3 option.

Ramesh said: (Fri, Dec 17, 2010 06:28:00 AM)    
 
This is so simple.

Prasad said: (Thu, Dec 23, 2010 11:09:28 AM)    
 
Yes i agree with ramyasri

Dominic said: (Fri, Jul 29, 2011 03:32:42 PM)    
 
If we take 69 as answer.

Sum becomes:6+9=15.

But difference become: 6-9=-3.

But from the question, the sum should be 15 and the difference 3, not -3. On this note, I strongly believe that, the correct answer is 96, because.

Sum: 9+6=15,

And difference: 9-6=3.

Vikas said: (Sun, Jul 31, 2011 03:35:24 PM)    
 
I strongly agree witth domnic. . . The condition in the question suite only 96 and not 69. . .

Sneha said: (Tue, Aug 23, 2011 07:54:10 PM)    
 
Can we do it like this. ?

10x+y=15.

10x-y=3.

Solving we get 10x=9, y=6.

So the number is 96?

Suvendu Das said: (Tue, Nov 29, 2011 08:22:13 PM)    
 
You are right. Sneha. This is the best way I beleive.

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