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Stupid number trick V (Posted on 2013-04-09) Difficulty: 2 of 5
(1) Take a 3 digit number whose first digit is greater than its last.

(2) Reverse the digits of (1) to create a smaller number.

(3) Subtract the number in (2) from (1) (Add a leading zero if this number is not 3 digits)

(4) Reverse the digits of (3)

(5) Add the numbers from steps (3) and (4)

What is the result, and why?

No Solution Yet Submitted by Jer    
Rating: 1.5000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re(3): Solution - the Fallacy Comment 4 of 4 |
(In reply to re(2): Solution - the Fallacy by brianjn)

brianjn does a good job at demonstrating the composition and decomposition of the number for the five steps. It is usually assumed that numbers are decimal (base-10), yet it is not necessarily the case (especially in a "trick" puzzle). In base-10 the resulting sum for (5) is always 1089. Yet to be more general, in base-r where r is an integer greater than 1, the resulting sum for (5) is r3 + r2 - r - 1.
  Posted by Dej Mar on 2013-04-15 15:59:23

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