Wednesday, April 3, 2013

Who Am I? Number Puzzle

I am a number.  I am the sum of the measures of the interior angles of a triangle, divided by the number of sides in a dodecagon, multiplied by the most frequently occurring digit in the first 5 numbers in the sequence, 1, 4, 16, 64, 256..., and less the median of those same 5 numbers.  What number am I?  
(Show your steps to prove it!)  Post the solution to your blog with your process, and send me an email to check it.

 

Well, the number is ___74_______


Here is my work:

 The sum of the interior angles in a triangle is always 180 degrees.

 Then I divided 180 by 12 which resulted in 15. 

After that, I continued on the sequence until 5 numbers (1, 4, 16, 64, 256) and found out that 6 is the most common digit. So I multiplied 6 to 15 which resulted in 90. 

Finally, I subtracted 90 by the median of the 5 numbers (16) and the final result is 74!

You could also set up an formula by using the given information.

Let x represent the mystery number:

x= (180/12)6 - 16

x=74


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