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Posers and Puzzles

Posers and Puzzles

  1. 21 Jul '05 11:32 / 1 edit
    1. Adab + Cbb + Caa = Abda
    2. Abab - Ccd = Bac
    3. Abab - Ccba = Ccdc
    4. Efg + Gf + Gef = Bdfg
    5. Abcb - Deac = Eadd

    Note that A = a, B = b et cetera.

    Edit: corrected problem
  2. 21 Jul '05 12:01 / 1 edit
    Originally posted by phgao
    1. Adab + Cbb + Caa = Abda
    2. Abab - Cdd = Bac
    3. Abab - Ccba = Ccdc
    4. Efg + Gf + Gef = Bdfg
    5. Abcb - Deac = Eadd

    Note that A = a, B = b et cetera.
    uhm... maybe I made a mistake:

    1. 1021A+12B+200C+100D = 1001A+100B+10D
    20A+200C+90D=88B
    2. 1010A +101B - 100C - 11D = 100B + 10A + C
    1000A + B = 101C + 11D
    3. 1010A + 101B – 1100C – 10B - A = 1101C + 10D
    1009A + 91B = 2201C + 10D
    4. 110E + 12F + 111G = 100B + 100D + 10F + G
    110E + 2F + 110G = 100B + 100D
    5. 1000A + 101B + 10C - 1000D – 100E – 10A - C = 1000E + 100A + 11D
    890A + 101B + 9C = 1100E + 1011D

    10A + 100C + 45D = 44B
    1000A + B = 101C + 11D
    1009A + 91B = 2201C + 10D
    55E + F + 55G = 50B + 50D
    890A + 101B + 9C = 1100E + 1011D

    the only possible numbers in the first one are:
    A = 3
    B = 5
    C = 1
    D = 2

    then you get:
    30+100+90=220
    220=220 (i'm a genius )

    but if you look at the second:
    3000 + 5 = 101 + 22
    3005 = 123 uhm... I don't think that's correct...

    so, are you really sure you didn't wrote a letter wrong?
  3. 21 Jul '05 12:24 / 2 edits
    Originally posted by Florrat
    uhm... maybe I made a mistake:

    1. 1021A+12B+200C+100D = 1001A+100B+10D
    20A+200C+90D=88B
    2. 1010A +101B - 100C - 11D = 100B + 10A + C
    1000A + B = 101C + 11D
    3. 1010A + 101B – 1100C – 10B - A = 1101C + 10D
    1009A + 91B = 2201C + 1 ...[text shortened]... ct...

    so, are you really sure you didn't wrote a letter wrong?
    Oh sorry for the second one it should be Abab - ccd = bac

    But the 1st one is correct. Each one has a separate solution. So the A for Q1 doesnt have to be the same a in Q2 etc.
  4. 21 Jul '05 16:06 / 1 edit
    Originally posted by phgao
    Oh sorry for the second one it should be Abab - ccd = bac

    But the 1st one is correct. Each one has a separate solution. So the A for Q1 doesnt have to be the same a in Q2 etc.
    these are the solutions (2 and 4 have multiple answers...):

    1. 10A + 100C + 45D = 44B A = 3, B = 5, C = 1, D = 2
    2. 1000A + B = 111C + D A = 1, B = 2~7 = D-1, C = 9, D = 3~8 = B+1 (6 possible solutions)
    3. 1009A + 91B = 2201C + 10D A = 2, B = 3, C = 1, D = 9
    4. 55E + F + 55G = 50B + 50D B = (1~)2, D = 8(~9), E = (1~)3, F = 5, G = 6(~8) (E&G can be rotated, B&D can be rotated,
    so 3 * 4=12 possible solutions)
    5. 890A + 101B + 9C = 1100E + 1011D A = 3, B = 5, C = 4, D = 1, E = 2


  5. 22 Jul '05 07:13 / 1 edit
    Originally posted by Florrat
    these are the solutions (2 and 4 have multiple answers...):

    1. 10A + 100C + 45D = 44B A = 3, B = 5, C = 1, D = 2
    2. 1000A + B = 111C + D A = 1, B = 2~7 = D-1, C = 9, D = 3~8 = B+1 (6 possible solutions)
    3. 1009A + 91B = 2201C + ...[text shortened]... B + 9C = 1100E + 1011D A = 3, B = 5, C = 4, D = 1, E = 2


    Well done
  6. 22 Jul '05 08:55 / 2 edits
    Some more for you to toss around.

    -----,VW
    -*---GT
    _________
    -----IW
    ---VW
    _________
    ---TVW
  7. 22 Jul '05 13:06
    Originally posted by phgao
    Some more for you to toss around.

    -----,VW
    -*---GT
    _________
    -----IW
    ---VW
    _________
    ---TVW
    you have this in your puzzle twice:
    _________

    what do you need to do + - * (dunno the english names )
  8. 23 Jul '05 02:19
    Originally posted by Florrat
    you have this in your puzzle twice:
    _________

    what do you need to do + - * (dunno the english names )
    Yeah, its *. Multiply. Sorry...
  9. 23 Jul '05 09:26
    Originally posted by phgao
    Some more for you to toss around.

    -----,VW
    -*---GT
    _________
    -----IW
    ---VW
    _________
    ---TVW
    Sorry, I hated this primary school stuff, how you wrote all these stupid things down:
    what you have to do?
    -----,VW * (- * ---GT) = -----IW + ---VW = ---TVW
    or do you lose information now?
    Is this even possible? (if you multiply the lowest numbers with both at least 5 digits, you should get at least 9 digits)
  10. 23 Jul '05 09:38 / 1 edit
    Originally posted by Florrat
    Sorry, I hated this primary school stuff, how you wrote all these stupid things down:
    what you have to do?
    -----,VW * (- * ---GT) = -----IW + ---VW = ---TVW
    or do you lose information now?
    Is this even possible? (if you multiply the low ...[text shortened]... ers with both at least 5 digits, you should get at least 9 digits)
    Ok... since my typing isnt up to scratch, ill try to explain...

    the "........" and ",,,,,,"s dont mean anything. This is a multiplication, only look at the letters. I use "........"s so they line up. That is how the sum multiplies out when completed. _______ is just a line separating the top middle and bottom of the multiplication.
  11. 23 Jul '05 14:10 / 2 edits
    Originally posted by phgao
    Some more for you to toss around.

    -----,VW
    -*---GT
    _________
    -----IW
    ---VW
    _________
    ---TVW
    musn't that 'IW' have 3 digits, because I solved it so far:

    VW
    GT
    *________
    IW
    VW0
    +________
    TVW

    T = 6 because W*T=W or W+10, W+20, W+30, W+40 so T = 1 or 6. T can’t be 1 because T*V= I
    V = 5 because IW+VW0=6VW and V can’t be 6 because T=6
    G must be 1, because 10*G*5W=5W0 so G*5W=5W so G=1
    I+W=(65-50=)15. T=6 so they must be 7 or 8

    W = 7 or 8
    T = 6
    G = 1
    V = 5
    I = 7 or 8

    5W
    16
    *________
    IW
    5W0
    +________
    65W

    6*5W=IW (isn't it?)
    6*5W=>300 (is larger than or equal to)
    so IW => 300 but has just 2 digits... (maybe I solved it wrong...)
  12. 24 Jul '05 08:08 / 2 edits
    Originally posted by Florrat
    musn't that 'IW' have 3 digits, because I solved it so far:

    VW
    GT
    *________
    IW
    VW0
    +________
    TVW

    T = 6 because W*T=W or W+10, W+20, W+30, W+40 so T = 1 or 6. T can’t be 1 because T*V= I
    V = 5 because IW+VW0=6VW and V can’ ...[text shortened]... so IW => 300 but has just 2 digits... (maybe I solved it wrong...)
    Ans : 25 * 13 = 325.