Ruzzle/Riddle Thread

Discussion in 'Physics & Math' started by ProCop, Jan 8, 2005.

  1. Pete It's not rocket surgery Registered Senior Member

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    Yes, I'm living in the past

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  3. Sarkus Hippomonstrosesquippedalo phobe Valued Senior Member

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    Okay - then it's 7, 10 and 28.

    Sum is 45.
    Product is 1960
    2005 less 45 is 1960.

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  5. Pete It's not rocket surgery Registered Senior Member

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    Is that a unique answer?
     
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  7. geodesic "The truth shall make ye fret" Registered Senior Member

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    Yep, that's what I got.

    Pete:
    I believe so, but I can't think of any non-exhaustive way of proving it, at least, not right now.

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  8. ProCop Valued Senior Member

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    Really something!!

    I found this puzzle on the web and it is a topper:


    Mother is 21 years older than her son.
    After 6 years she will be 5 times older than the son.
    Where is the father?
     
  9. Pete It's not rocket surgery Registered Senior Member

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    10,167
    Oh, that's rude!
     
  10. ProCop Valued Senior Member

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    1,258

    Accord, but let's conclude that smart thinking cannot be intimidated by supposed vulgarity of some elements of life...

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  11. tablariddim forexU2 Valued Senior Member

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  12. tablariddim forexU2 Valued Senior Member

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  13. Pete It's not rocket surgery Registered Senior Member

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    Well Jamaica is warm and wet... and the husband is in a warm, wet place...
     
  14. tablariddim forexU2 Valued Senior Member

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    I guess you're assuming that the son is 'just being made' at the beginning of the puzzle, but I just can't get my head round the math to work it out.
     
  15. oxymoron Registered Senior Member

    Messages:
    454
    Hehe! Thats a really good puzzle!

    Age of son: -9/12 (assuming 9 months until conception).
    Age of mother: 20.25yrs old

    After 6 years...

    Age of son: 5.25 years
    Age of mother: 26.25

    5.25x5 = 26.25

    Therefore the father is in bed.
     
  16. oxymoron Registered Senior Member

    Messages:
    454
    Alternatively if you had no idea you could do this from scratch.

    The puzzle must satisfy two equations:

    (1)... x + 21 = y
    (2)... 5(x+6) - (y+6) = 0

    (1) says that the age of the son (x) plus 21 equals the age of the mother (y). Then (2) says that the difference between 5 times the age of the son plus 6 and the age of the mother plus 6 is zero.

    So we have

    (1)... x - y + 21 = 0
    (2)... 5x + 30 - y - 6 = 0

    =>

    (1)... 5x - 5y + 105 = 0
    (2)... 5x - y + 24 =0

    Solving simultaneously...(1)-(2)...

    -4y +81 = 0
    y = -81/-4 = 20.25

    Substituting back into (1) we have

    x - (20.25) + 21 = 0
    x + 0.75 = 0
    x = -0.75

    Hence the age of the mother is 20.25 years and the age of the son is -0.75 years or -9 months. And you can assume whatever you want from there.
     
  17. ProCop Valued Senior Member

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    This is the answer the Parent Control application on my PC would allow to show on the screen and it is not neccesary to specify the exact position/placing of the involved organ of paps in the vicinity of mams physionomy to solve the riddle.

    Thank you for your restrain in formulating the answer!

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  18. oxymoron Registered Senior Member

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    restrain? what restrain?

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    Sorry ProCop, I simply had to answer it - it was such a cool puzzle. I liked how one of the ages was actually negative which really gets you thinking!!
     
  19. ProCop Valued Senior Member

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    @Oxymoron

    Your answer is corect, thanks for the work out maths. When I first saw the riddle I thought that it was one of those stupid trying-to mislead-you puzzles, but it turned out to be a very clever one...

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  20. ProCop Valued Senior Member

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    Got this one in a mailgroup..(very witty)


    When the old rancher died, and left the ranch to his
    three boys, their mother suggested a new name for the ranch.

    "Focus"

    Where the sons raise meat.


    Why "Focus" ?
     
  21. §outh§tar is feeling caustic Registered Senior Member

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    4,832
    The hostess at her 20th wedding anniversary party tells you that the
    youngest of her three children likes her to pose this problem, and proceeds
    to explain: “I normally ask guests to determine the ages of my three children,
    given the sum and product of their ages. Since Smith missed the
    problem tonight and Jones missed it at the party two years ago, I’ll let you
    off the hook.” Your response is “No need to tell me more, their ages are : : : ”
     
  22. §outh§tar is feeling caustic Registered Senior Member

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    4,832
    You and two other people have numbers written on your foreheads.
    You are told that the three numbers are primes and that they form the sides
    of a triangle with prime perimeter. You see 5 and 7 on the other two people,
    both of whom state that they cannot deduce the number on their own
    foreheads. What number is written on your forehead?

    --
    Same source as the other.
     
  23. Rosnet Philomorpher Registered Senior Member

    Messages:
    681
    11
    5+7=12
    Next prime numbers: 13, 17, 19, 23, 29,... (Perimeters)
    Third side, possibly: (Perimeter-Sum of two sides).
    13-2=1; 1 is not prime.
    17-12=5; Already taken
    19-12=7; Already taken;
    23-12=11; OK
    29-12=17; 17>7+5; Sum of two sides of a triangle is always greater than third side.
    Hencerule out all other numbers

    Answer: 11
     

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