Puzzled numbers

Discussion in 'Everything else Archive' started by habalala, Jun 9, 2019.

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  1. habalala

    habalala Emperor of the Forum

    Awesome finds silim, I'll grant you an extra 0.5 pts for these as they are not matching the request "by adding up" in full. But still cool :)
    Your first answer is the very correct solution (earns you 1 pts), for more correct solutions do check the notation sequence :D
     
    habalala, Jun 13, 2019
    #41
    SahraB, Cassie101, xristos-ale3andros and 1 other person like this.
  2. 12ss12

    12ss12 Living Forum Legend

    8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8 =1000

    Totally 125 eights. 125 X8 =1000

    *************************************************
    Another method
    88+88+88+88+88+88+88+88+88+88+88+8+8+8+8= 1000

    that is 11 x 88's and 4 x 8s is equal to 1000
     
    Last edited: Jun 13, 2019
    12ss12, Jun 13, 2019
    #42
    silim, SahraB, Cassie101 and 2 others like this.
  3. habalala

    habalala Emperor of the Forum

    So creative 12ss12! Good fun, isn't?

    But then again adding up 125 or 26 eights ≠ adding up eight 8. Silim already gave the correct answer, may I suggest to hussle his numbers a bit? Maybe the outcome is 8+8+8+88+888 = 1000 or something like it? Different math, same outcome …

    Edit: I'll post Game 3 on june 15, at around 8 pm (CEST +2)
     
    Last edited: Jun 15, 2019
    habalala, Jun 13, 2019
    #43
    silim, SahraB, 12ss12 and 2 others like this.
  4. -Mir85-

    -Mir85- Living Forum Legend

    :)
     
    -Mir85-, Jun 15, 2019
    #44
    silim, SahraB and 12ss12 like this.
  5. habalala

    habalala Emperor of the Forum

    Game 3

    Two tasks to find an answer on, both need to be correct in one post.

    1)
    How often is there a 9 in the range 1 - 100

    2)
    You are given the numbers: 4, 5, 11, 73, 204
    and you are given the following math marks: *, +, +, /
    and you are given the outcome: 349

    Solve the puzzle, make a correct math by using all you've been given once.


    Solution to Game 2

    888 + 88 + 8 + 8 + 8 = 1000

    >any combo will do, so there were many options to earn 0.5 pts<
    a few example math:
    88 + 888 + 8 + 8 +8
    8 + 888 + 8 + 88 + 8
    8 + 8 + 88 + 888 + 8
    etc.

    -Mir85- 1.5 pts
    silim 1.5 pts
    12ss12 0.5 pts (for being creative with 8s!)
    xristos 0.5 pts
    illy1996 0.5 pts
    SahraB 0.5 pts
    puppiesnponies 0.5 pts    ​
     
    habalala, Jun 15, 2019
    #45
    silim, SahraB, -Mir85- and 3 others like this.
  6. xristos-ale3andros

    xristos-ale3andros Regular

    There are 19 numbers that contain 9 at least once in the range of 1-100.
    Of course 99 contains 9 twice, so the counts of 9 are 20.
     
    xristos-ale3andros, Jun 15, 2019
    #46
    silim, SahraB, 12ss12 and 2 others like this.
  7. -Mir85-

    -Mir85- Living Forum Legend

    1. Like xristos-ale3andros said, 20
    2. ((73 + 204) * 5 + 11) / 4 = 349
     
    -Mir85-, Jun 15, 2019
    #47
    silim, baw815, SahraB and 4 others like this.
  8. habalala

    habalala Emperor of the Forum

    Congrats, you've found and posted both answers -Mir85-!

    I'll post a new game tomorrrow, june 17, around 12am (CEST +2)
     
    habalala, Jun 16, 2019
    #48
    silim, baw815, SahraB and 3 others like this.
  9. habalala

    habalala Emperor of the Forum

    Game #4

    Find me!

    A number multiplied by 2, minus 1, and the outcome read in reversed order gives the same number.

    Give 2 solutions. 3 or more solutions earns you an extra 0.5 point.    ​


    Solution to Game #3

    1)
    There's a total of twenty 9 in the range 1 - 100

    2)
    ((204 + 73) * 5 + 11)) / 4 = 349

    204+73 = 277 > (73+204 is fine too)
    277*5 = 1385
    1385+11 = 1396
    1396/4 = 349

    -Mir85- 2.5 pts
    silim 1.5 pts
    12ss12 0.5 pts
    xristos 0.5 pts
    illy1996 0.5 pts
    SahraB 0.5 pts
    puppiesnponies 0.5 pts
     
    habalala, Jun 17, 2019
    #49
    silim, SahraB and -Mir85- like this.
  10. xristos-ale3andros

    xristos-ale3andros Regular

    Ok..
    1*2-1=1
    mirror of 1 is 1

    37*2-1=73
    mirror of 73 is 37

    edit ..found another
    397*2-1= 793
    mirror of 793 is 397
     
    Last edited: Jun 17, 2019
    xristos-ale3andros, Jun 17, 2019
    #50
    silim, puppiesnponies, habalala and 2 others like this.
  11. -Mir85-

    -Mir85- Living Forum Legend

    1*2-1 = 1
    37*2-1 = 73
    397*2-1 = 793
    3997*2-1 = 7993
    39997*2-1 = 79993
    399997*2-1 = 799993
    3999997*2-1 = 7999993
    39999997*2-1 = 79999993
    399999997*2-1 = 799999993
    3999999997*2-1 = 7999999993

    39999...99997*2-1 = 79999....99993​
     
    -Mir85-, Jun 17, 2019
    #51
    silim, SahraB, puppiesnponies and 2 others like this.
  12. xristos-ale3andros

    xristos-ale3andros Regular

    Impressive -Mir85-!!! An infinite sequence of solutions.
     
    xristos-ale3andros, Jun 17, 2019
    #52
    silim, SahraB, habalala and 1 other person like this.
  13. -Mir85-

    -Mir85- Living Forum Legend

    It's pretty neat :) At first glance the first solution looks like it doesn't fit a pattern, but if we check the difference between two consecutive solutions we find another pattern, and it fits right in:

    1 + 36 = 37
    37 + 360 = 397
    397 + 3600 = 3997
    3997 + 36000 = 39997
    39997 + 360000 = 399997
    399997 + 3600000 = 3999997
     
    -Mir85-, Jun 17, 2019
    #53
    silim, SahraB, xristos-ale3andros and 2 others like this.
  14. habalala

    habalala Emperor of the Forum

    Applause for xristos and mir! Job well done!!

    Indeed there is an unlimited amount of solutions in game 4, it's just finding the patern …

    Because summer finally arrived in my country (and will last at least for the next 3 days ahead) I'll post a new game right away. I'll be out but will try to check in here again on wednesday.

    -Mir85- 4 pts *wins CAC or PPP* *no points reward in game 5*
    xristos 2 pts
    silim 1.5 pts
    12ss12 0.5 pts
    illy1996 0.5 pts
    SahraB 0.5 pts
    puppiesnponies 0.5 pts


    Game #5

    Provide the next line of numbers.

    1
    1 1
    2 1
    1 2 1 1
    1 1 1 2 2 1
    3 1 2 2 1 1
    ? ? ? ? ? ? ? ?
     
    habalala, Jun 17, 2019
    #54
    Cassie101, silim, SahraB and 3 others like this.
  15. puppiesnponies

    puppiesnponies Living Forum Legend

    1
    1 1
    2 1
    1 2 1 1
    1 1 1 2 2 1
    3 1 2 2 1 1
    1 3 1 1 2 2 2 1
    1 1 1 3 2 1 3 2 1 1
    3 1 1 3 1 2 1 1 1 3 1 2 2 1
     
    puppiesnponies, Jun 17, 2019
    #55
    silim, baw815, SahraB and 5 others like this.
  16. -Mir85-

    -Mir85- Living Forum Legend

    Now this one I don't get :cry:
     
    -Mir85-, Jun 18, 2019
    #56
    silim, SahraB, habalala and 1 other person like this.
  17. Cassie101

    Cassie101 Emperor of the Forum

    Me neither :cry::cry::cry:
     
    Cassie101, Jun 18, 2019
    #57
    silim, SahraB, habalala and 2 others like this.
  18. illy1996

    illy1996 Living Forum Legend

    Uh ah, me neither - thought I did but even with Pups' answer, I can't get the pattern. o_O
     
    illy1996, Jun 18, 2019
    #58
    Cassie101, silim, SahraB and 3 others like this.
  19. xristos-ale3andros

    xristos-ale3andros Regular

    Same here:cry:
     
    xristos-ale3andros, Jun 18, 2019
    #59
    Cassie101, silim, SahraB and 2 others like this.
  20. habalala

    habalala Emperor of the Forum

    Wow, while I thought this one would take a day or two to solve, pnp found and posted the answer within 30 minutes. WTG, well done!!

    Solution to Game #5

    Each line (except the first) says how often a certain number in order occurs in the line above:

    1 = one
    1 1 = one one -in first line-
    2 1 = two one -in 2nd line-
    1 2 1 1 = one two, one one -in 3rd line-
    1 1 1 2 2 1 = one one, one two, two one -in 4th line-
    3 1 2 2 1 1 = three one, two two, one one -in 5th line-

    Next is: one three, one one, two two, two one : 1 3 1 1 2 2 2 1
    and so on :)

    -Mir85- 4 pts
    xristos 2 pts
    puppiesnponies 1.5 pts
    silim 1.5 pts
    12ss12 0.5 pts
    illy1996 0.5 pts
    SahraB 0.5 pts

    I'll post a new puzzle soon, that is within a day :)
     
    habalala, Jun 19, 2019
    #60
    Cassie101, silim, baw815 and 3 others like this.
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