If ABCD x A= DCBA, what are the four digit numbers that give you this? And what is the equation? Without repitition?

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- Oct 31st 2007, 02:45 PMMSYORK89[SOLVED] What is the 4-digit number?
If ABCD x A= DCBA, what are the four digit numbers that give you this? And what is the equation? Without repitition?

- Nov 1st 2007, 06:36 PMSoroban
Hello, MSYORK89!

Is there a typo?

Quote:

If , what are the four-digit numbers?

. .

If , the product is zero. .Hence,

If , the product is .Hence,

If , the product is a five-digit number. .Hence,

If , we have:

. .

In column-4, ends in 2.

. . Hence,

But in column-1, we see that

. . Therefore: .

If , we have:

. .

In column-4, we see that: .

But in column-1,

. . Therefore: .

The problem has**no**solutions.

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If the problem is: .

. . there is a solution: .