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Thread: One for you Mathematicians...

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    Official Member luke313's Avatar
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    One for you Mathematicians...

    When did ONE=TWO??

    Just now

    Let a=b...


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    Ah, Mrs. Peel! mike_w's Avatar
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    An oldie but a goodie - when I first saw it, I worked out the answer pretty quickly, but I won't spoil it here. Here's how I normally lay it out:

    1) We start with:
    a=b

    2) Times both sides by a:
    a²=ab

    3) Add a² to both sides:
    2a²=a²+ab

    4) Subtract 2ab from both sides:
    2a²-2ab=a²-ab

    5) Factorise:
    2(a²-ab)=a²-ab

    6)Divide by a²-ab
    2=1
    Last edited by mike_w; 18-08-2005 at 07:33 PM.
    "Well, there was your Uncle Tiberius who died wrapped in cabbage leaves but we assumed that was a freak accident."

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    were you board lat night at about 2am and just decided to make 1=2
    your computer is similar to a fridge in that if it cannot keep a beer cold then it sucks

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    Treasure Hunter extraordinaire herulach's Avatar
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    Edit spoiler, select
    The 4th line screws it up, youre dividing by zero.

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    Quote Originally Posted by herulach
    Edit spoiler, select
    good point i didn't see that
    Last edited by unrealuniverse; 18-08-2005 at 07:19 PM.
    your computer is similar to a fridge in that if it cannot keep a beer cold then it sucks

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    Gaarrrrr! Dav0s's Avatar
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    a² = ab

    3) Times both sides by a²:

    2a²=a²+ab
    ab x a² is not a²+ab
    Last edited by Dav0s; 18-08-2005 at 07:23 PM.

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    Ah, Mrs. Peel! mike_w's Avatar
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    Quote Originally Posted by Davos
    ab x a² is not a²+ab
    Oops - wrote down the wrong thing! Corrected now.

    Anyway, here's another riddle type thing (hopefully I won't make a mistake this time!)

    A man has a set of scales and 40 bags of cement, weighing from 1kg to 40kg (i.e. a 1kg bag, 2kg bag, etc.). He places each bag on one side of the scales in turn. What is the minimum number of weights overall you need to balance out the scales each time?

    For example, let's say you balance the 1kg bag with a 1kg weight. For the 11kg bag, you use a 1kg weight and a 10kg weight. So far, you have used 2 weights - 1kg and 10kg.

    Does that make sense? Anyway, as I said, what is the minimum number of weights overall you need to balance out the scales each time? If do find the answer, don't spoil it!
    "Well, there was your Uncle Tiberius who died wrapped in cabbage leaves but we assumed that was a freak accident."

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    Gaarrrrr! Dav0s's Avatar
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    Quote Originally Posted by mike_w
    2a²=a²+ab

    4) Subtract 2ab from both sides:
    2a²-2ab=a²-ab
    im probs just being stupid on this one but..

    a²+ab - 2ab = a²-ab

    how ^^


    and ill have a go at ur puzzle in a bit

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    Treasure Hunter extraordinaire herulach's Avatar
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    Quote Originally Posted by Davos
    im probs just being stupid on this one but..

    a²+ab - 2ab = a²-ab

    how ^^


    and ill have a go at ur puzzle in a bit
    because thats like writing a + c -c -c (c=ab) so clearly the first 2 cancel

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    Don't feed the trolls... tiggerai's Avatar
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    Don't do maths.

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    Gaarrrrr! Dav0s's Avatar
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    and just started ur puzzle, got to 11kg and got incredibly bored! have to think lots fo every one and too much trial and error for my liking....got ne more?

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    Ah, Mrs. Peel! mike_w's Avatar
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    Quote Originally Posted by Davos
    im probs just being stupid on this one but..

    a²+ab - 2ab = a²-ab

    how ^^
    a²+ab - 2ab... well, 2ab is two lots of ab...

    a²+ab-ab-ab. We can cancel out the ab-ab in the middle, so we are left with:

    a²-ab

    And the puzzle is fun... I didn't get it first time, I fell into the usual trap.
    "Well, there was your Uncle Tiberius who died wrapped in cabbage leaves but we assumed that was a freak accident."

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    Gaarrrrr! Dav0s's Avatar
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    Quote Originally Posted by herulach
    because thats like writing a + c -c -c (c=ab) so clearly the first 2 cancel
    ah yeah, soz i knew i was missing something

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    Senior Member ajbrun's Avatar
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    Quote Originally Posted by mike_w
    An oldie but a goodie - when I first saw it, I worked out the answer pretty quickly, but I won't spoil it here.
    Could you spoil it please, but put it in white text so those who don't want to know don't see it?

    I've always wondered how it worked, but either have never been good enough at maths to know, or not bothered enough to try and work it out myself.

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    Treasure Hunter extraordinaire herulach's Avatar
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    Quote Originally Posted by ajbrun
    Could you spoil it please, but put it in white text so those who don't want to know don't see it?

    I've always wondered how it worked, but either have never been good enough at maths to know, or not bothered enough to try and work it out myself.
    I did, 4th post in.

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    Official Member luke313's Avatar
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    Post below that one ajbrun - white text

    /hint

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