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What is the only four-digit number that is two more than double the number obtained by reversing the order of the digits? Can you find the only ten-digit number with the same property?

5992

Well done Tatters.
Did you use a formula or was it trial and error?

Used Excel

Column 1 - digits 1001 to 9999

set macro to reverse those digits in Column 2

Column 3 to calculate A1-2*A2 etc

Sort by column 3 and find the entry showing 2

duh A1-2*B1 etc

I am sure there are neater ways but they are beyond me

5999999992

and it seems 592
59992
599992
599999999999999999999999999999999999999999999992

etc etc

Thanks.
I guessed that the middle two numbers should be the same and that's as far as I got!