# Interview Question Asked In yahoo

Can you find the smallest positive number such that if you shuffle the digits of the number in a particular order, the shuffled number becomes twice the original number.

I understand the answer is $125874 => 251748$

$251748$ is twice the $125874$ and have same digits $1,2,4,5,7$ & $8$

but how to solve this non programmatic ?

• One way is to play fool and answer it in base $2$. The answer becomes $01$, which turns $10$. ;)
– user147444
May 5, 2014 at 17:14
• Or in base 8, where $52_8 = 2\cdot 25_8$.
– MJD
May 5, 2014 at 17:19
• It's odd that the answer has the same digits as 142857, which is well-known to have the same property.
– MJD
May 5, 2014 at 17:23
• – MJD
May 5, 2014 at 18:32