perplexus.info :: Numbers : Too many fours and sixes

Too many fours and sixes (Posted on 2010-08-07)

Each of A and B is a tridecimal (base 13) positive integer, where A is formed by writing the digit 4 precisely 666 times and, B is formed by writing the digit 6 precisely 666 times.

Determine the distinct digits that appear in the tridecimal representation of the product A*B.

Note: For an extra challenge, solve this problem using only pencil and paper.

Submitted by K Sengupta

Rating: 4.0000 (3 votes)

Solution: (Hide)

The distinct digits are 2,1, a, and b.
For a detailed semi-analytic explanation, refer to the solution submitted by Brian Smith in this location.
For due verification, you can refer to the computer program assisted solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Paper Solution	Joshua	2010-08-10 09:55:42
re: Solution	Ady TZIDON	2010-08-08 11:04:43
Solution	Brian Smith	2010-08-07 23:13:19
computer solution and partial explanation	Charlie	2010-08-07 14:41:52

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