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Aptitude - Problems on Numbers - Discussion

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

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"I never see what has been done; I only see what remains to be done."
- Marie Curie
5. 

A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

[A]. 18[B]. 24
[C]. 42[D]. 81

Answer: Option A

Explanation:

Let the ten's and unit digit be x and 8 respectively.
x

Then, 10x + 8 + 18 = 10 x 8 + x
x x

10x2 + 8 + 18x = 80 + x2

9x2 + 18x - 72 = 0

x2 + 2x - 8 = 0

(x + 4)(x - 2) = 0

x = 2.


Saradhapriyanka.S said: (Wed, Aug 11, 2010 09:06:16 AM)    
 
I could not understood your answer, please explain in some other way.

Chandra said: (Tue, Aug 17, 2010 06:42:05 AM)    
 
There are only four two digit numbers whose product of the digits is 8. They are 18, 81, 24 and 42.

We can get easily 24 is the answer.

Sun said: (Mon, Oct 4, 2010 04:19:01 AM)    
 
We can directly check out the answer through options.

24 + 18 = 42 which gives product 8.

Shanthi said: (Sat, Oct 23, 2010 03:35:08 AM)    
 
it is very simple..u can get ans from the options itself.18+18=36 no. not reversed. tak 24+18=42 no.reversed. 24 is reversed as 42

Sudheer said: (Sat, Feb 12, 2011 10:20:32 PM)    
 
Products of 8 is 2*4, 4*2, 8*1, 1*8.

But he is telling by adding 18 to it the digits are reversed means 24+18=42.

24 is changed to 42. So, the answer is 24.

May said: (Sun, Apr 17, 2011 12:39:58 PM)    
 
Oh.. u great and feeling in so easy.. thx u..

Sunny said: (Tue, Jul 5, 2011 02:49:08 PM)    
 
Why didn't you take 8x, 1/x and solve the problem?

Manojit said: (Mon, Feb 6, 2012 05:21:55 PM)    
 
Product of two digit means multiple of two digit.

Suppose two digit is x, y.
Then x*y=8

y=8/x

Now two digit is x, 8/x.

Then look the above problem.

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