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Author Topic: PUZZLE -- Fixing a False Equation  (Read 2505 times)

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Offline Neil Obstat

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PUZZLE -- Fixing a False Equation
« on: September 06, 2018, 11:46:41 PM »
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    Can you move just one digit to a new location, making this equation true?
    Do not move signs, only move one numeral.
    .
    82 - 43 = 1                      
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    Online MaterDominici

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    Re: PUZZLE -- Fixing a False Equation
    « Reply #1 on: September 07, 2018, 12:08:10 AM »
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    I don't know how to type it, but the 4 becomes an exponent of the 3.
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    Offline Maria Regina

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    Re: PUZZLE -- Fixing a False Equation
    « Reply #2 on: September 07, 2018, 12:26:09 AM »
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    • Quote from: MaterDominici on September 07, 2018, 12:08:10 AM
    I don't know how to type it, but the 4 becomes an exponent of the 3.
    82 - 3^4 = 1
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    Lord have mercy.

    Online MaterDominici

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    Re: PUZZLE -- Fixing a False Equation
    « Reply #3 on: September 07, 2018, 12:48:00 AM »
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    • Quote from: Maria Regina on September 07, 2018, 12:26:09 AM
    82 - 3^4 = 1
    Yes, that.
    I guess the caret wasn't important enough to make it to my phone keyboard. : )
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    Offline Nadir

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    Re: PUZZLE -- Fixing a False Equation
    « Reply #4 on: September 07, 2018, 01:05:24 AM »
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    • I don't understand. Can somebody please explain?
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    Offline Neil Obstat

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    Re: PUZZLE -- Fixing a False Equation
    « Reply #5 on: September 07, 2018, 01:06:39 AM »
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    • Quote from: MaterDominici on September 07, 2018, 12:08:10 AM
    I don't know how to type it, but the 4 becomes an exponent of the 3.
    .
    Hooraay!
    82 - 34 = 1    
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    Quote from: Nadir on September 07, 2018, 01:05:24 AM
    I don't understand. Can somebody please explain?
    .
    In other words,
    82 - 34 = 82 - (3)(3)(3)(3) = 82 - 81 = 1  

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    .

    Alternatively,   82 - 34 = 82 - 3*3*3*3
        82 - 81 = 1
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    Offline Neil Obstat

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    Re: PUZZLE -- Fixing a False Equation
    « Reply #6 on: September 07, 2018, 02:21:11 AM »
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    There are 14 wineglasses on a table, seven of which are full of wine, but the other seven glasses are only half full.
    Without changing the amount of wine in any glass, can you arrange them into 3 groups, such that each group contains the same total amount of wine?
    .
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    Offline Nadir

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    Re: PUZZLE -- Fixing a False Equation
    « Reply #7 on: September 07, 2018, 05:15:11 AM »
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    • Quote from: Neil Obstat on September 07, 2018, 01:06:39 AM
    82 - 34 = 1    
    .
    Now I get it, thanks Neil. Hooraay! 
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    Offline Nadir

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    Re: PUZZLE -- Fixing a False Equation
    « Reply #8 on: September 07, 2018, 05:24:34 AM »
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    • Upper case U represents a full glass
    Lower case u represents a half glass
     
    UUuuu      UUuuu    UUUu

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    Offline Neil Obstat

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    Re: PUZZLE -- Fixing a False Equation
    « Reply #9 on: September 08, 2018, 04:16:58 AM »
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    • Quote from: Nadir on September 07, 2018, 05:24:34 AM
    Upper case U represents a full glass
    Lower case u represents a half glass
     
    UUuuu     UUuuu    UUUu
    .
    Congratulations, Nadir! 
    .
    It's interesting you found the other solution. I got this one:
    .

    UUUu     UUUu     Uuuuuu
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    Offline Neil Obstat

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    Re: PUZZLE -- Fixing a False Equation
    « Reply #10 on: September 08, 2018, 04:46:09 AM »
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    A large bowl has 20 red marbles and 30 blue marbles in it. If you are unable to see what you're doing, and you pick one marble out of the bowl at random, what are the chances you will find the marble you picked is red?
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    Offline Nadir

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    Re: PUZZLE -- Fixing a False Equation
    « Reply #11 on: September 08, 2018, 10:14:00 PM »
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    • It seems too simple so I must be wrong! 40% or 0.4.
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    Offline Pax Vobis

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    Re: PUZZLE -- Fixing a False Equation
    « Reply #12 on: September 08, 2018, 11:08:05 PM »
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    • Quote
    A large bowl has 20 red marbles and 30 blue marbles in it. If you are unable to see what you're doing, and you pick one marble out of the bowl at random, what are the chances you will find the marble you picked is red?
    It depends on the Vegas odds and how much $ was bet.  
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    Offline Neil Obstat

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    Re: PUZZLE -- Fixing a False Equation
    « Reply #13 on: September 10, 2018, 05:04:28 AM »
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    • Quote from: Nadir on September 08, 2018, 10:14:00 PM
    It seems too simple so I must be wrong! 40% or 0.4.
    .
    You got it! Yaaaay! 
    .
    Probablility is nothing but the ratio:
       Total Target Outcomes   
    Total of All Possible Outcomes
    .
    In this case, there are a total of 50 marbles you could select at random (there are 50 marbles in the jar).
    So that's the denominator.
    Then there are 20 red marbles, any one of which is a "target" or a desired selection.
    So that's the numerator. Consequently, you simply plug in the numbers and do the arithmetic:
    . 
     20 
    50

    = 2/5 = 0.4 = 40%

    .
    Likewise, if you wanted a blue marble, it would be:  30/50 = 3/5 = 0.6 = 60%
    .
    Then to figure for multiple selections, you compute the probability for each draw, and multiply the probabilities together.
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    Offline Neil Obstat

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    Re: PUZZLE -- Fixing a False Equation
    « Reply #14 on: September 10, 2018, 05:25:25 AM »
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    What is the next number in this sequence?   1, 12, 1, 1, 1, ...
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