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**jacks****Member**- Registered: 2012-11-21
- Posts: 80

A 4 digit no. abcd is such that 4 *(abcd) = (dcba). Then no. abcd is

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,657

I have that abcd=2178.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,562

Hi;

Yes, and that is the only solution.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**jacks****Member**- Registered: 2012-11-21
- Posts: 80

Yes 2178 is right answer.

How can i get it.

would you like to explain me

hanks

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,562

Hi;

First thing that jumps right out at you is that the front digit is either a 1 or 2. So, the last digit is a 4 or an 8. You now only have to try 16 numbers to find all the answers.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,915

Hi,

**a** = 2...from **d** x 4 = even, and **a** x 4 must be a single-digit result (to avoid a 5-digit end product).**b** = 1...from **b** x 4 must be a single-digit result (to keep **a** = 2), and 2 is already taken.**d** = 8...from **a** x 4 = 8.**c** = 7...from (**c** x 4) + the tens unit (3) from **d** x 4 must end in 1, which is only possible with **c** = 7 or 2; but 2 is already taken.

So, abcd is 2178.

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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**jacks****Member**- Registered: 2012-11-21
- Posts: 80

Thanks friends got it

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