Puzzle 33 - solution

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The number must start with a 3 because it is between 290000 and 310000 and 2 is not an odd number - all digits are odd.

The number also ends with. 

The third digits is number of fingers on your hand. So 5. 3rd, 4th and 5th digits are consecutive odd numbers in ascending order - so they are 579

Second digit is 4th digit - 2 = 7-2 = 5

So we have our answer :  355793


What about the bonus question? 

So if the ant travels x inches on first day, it travels x/3 inches on second day and x/3/3 inches on third day. The total distance is 78

x + x/3 + x/9 = 78 

13x/9 = 78

x = 78 * 9/13 = 54 inches.

First day it traveled 54 inched. Second day 54/3 = 18 inches and third day 18/3 = 6 inches. Total is 54+18+6=78

Note : The original question has distance as 76 inches. But that gives us a fractional value? Any other answers for 76 as total?

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