A number theory problem by karandeep singh ludhar

Number Theory Level 4

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.


The answer is 125874.

Karandeep Singh Ludhar by karandeep singh ludhar , 21, India

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2 solutions

Rama Devi
May 15, 2015

The answer is none other than 125874,since when it shuffled the number becomes 251748,which is exactly twice the given number.

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125874 = 251748 which is twice the original number . the shuffling pattern is , firstly we have divided into 2 parts 125 and 874 and written the 2nd digit 1st , 3rd digit 2nd and 1st digit 3rd in both parts .

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@Vaibhav Prasad how did you solve it?

Adarsh Kumar - 6 years, 1 month ago

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I started with 250 2 = 125 \frac{250}{2}=125 , and then a bit of bashing and led me to the answer, as i thought 250 250 and 125 125 must be somewhere in the answer.

Vaibhav Prasad - 6 years, 1 month ago

Where is the proof that 125874 is the smallest positive number with such property?

Ricardo Moritz Cavalcanti - 3 months, 2 weeks ago

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