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Posers and Puzzles

Posers and Puzzles

  1. 28 Jul '06 17:20
    Of the numbers below, 5 of them add up to 2006, and only those five. The question is... which ones? No need to cheat by writing a program to try all possible combinations, there is an easier way

    413 448 336 351 308 476
    392 378 483 364 441 329
    386 315 420 428 455 343
    469 463 371 406 399 322
  2. 29 Jul '06 01:12
    The only way i can think of is trial and error, but that will take forever.
  3. 29 Jul '06 01:46 / 5 edits
    Originally posted by perihelion
    No need to cheat by writing a program to try all possible combinations, there is an easier way
    I know, just get somebody to write one for you.
  4. 29 Jul '06 02:34
    i had the solution through trail and error but all i can remeber is 322
  5. Subscriber AThousandYoung
    It's about respect
    29 Jul '06 03:18
    Originally posted by Knight Square
    The only way i can think of is trial and error, but that will take forever.
    I'm thinking going by the last numbers might work. Get two pairs which each add to a number with a 0 at the end then add one that has a 6 at the end. Otherwise it would be trial and error.

    I decided I am too lazy to actually try it though.
  6. 29 Jul '06 05:04
    See if you can find something these numbers have in common. Most of them anyway...
  7. 29 Jul '06 05:57 / 2 edits
    Originally posted by perihelion
    See if you can find something these numbers have in common.
    A piece of cake. They all have three digits.
  8. Standard member Bowmann
    Non-Subscriber
    29 Jul '06 16:22
    Originally posted by perihelion
    See if you can find something these numbers have in common. Most of them anyway...
    They're Harshad numbers. Well, most of them anyway.

    Also, they're all composites but one.
  9. 29 Jul '06 17:01 / 1 edit
    Originally posted by Bowmann
    They're Harshad numbers. Well, most of them anyway.

    Also, they're all composites but one.
    And they are all even, except nine of them!
  10. Standard member Bowmann
    Non-Subscriber
    29 Jul '06 17:08
    Originally posted by ThudanBlunder
    And they are all even, except nine of them!
    An odd conclusion
  11. 29 Jul '06 18:44
    Originally posted by Bowmann
    [b]They're Harshad numbers. Well, most of them anyway.
    b]
    What are Harshad numbers? I suppose I could search on Google but an answer here might interest many who are following this thread.
  12. Subscriber BigDoggProblem
    The Advanced Mind
    29 Jul '06 19:38
    Originally posted by perihelion
    No need to cheat by writing a program to try all possible combinations, there is an easier way
    I dunno...writing a program is pretty damn easy.
  13. Standard member Bowmann
    Non-Subscriber
    29 Jul '06 21:54
    Originally posted by Mixo
    What are Harshad numbers? I suppose I could search on Google but an answer here might interest many who are following this thread.
    Those divisible by the sum of their digits, and a source of great joy to many.

    Google loads rather quickly through modern connections.
  14. 29 Jul '06 21:59
    351, 378, 386, 428, 463
    no i didn't use trial and error
  15. 30 Jul '06 02:20
    Originally posted by aginis
    351, 378, 386, 428, 463
    no i didn't use trial and error
    And we have a winner!

    For those still trying to figure it out, Bowmann's observation that most of them are composites is on the right track. Keep looking in this direction for something more specific.