Here's the problem...

An addition square is a 3 by 3 grid of 9 numbers such that, in each row from left to right, and in each column from top to bottom, the first number plus the second number equals the third number. When this addition square is filled in completely, what is the largest possible sum of all 9 numbers?

`````` __ __ __
|__|__|__|
|__|__|__|
|__|__|[U]25[/U]|``````

Any thoughts... or, more preferably, answers?

EDIT: I got this... but I'm not sure if its the largest possible sum.

`````` ____ ____ ____
|_[U]6[/U]__|_[U]7[/U]__|_[U]13[/U]_|
|_[U]8[/U]__|_[U]4[/U]__|_[U]12[/U]_|
|_[U]14[/U]_|_[U]11[/U]_|_[U]25[/U]_|``````
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Last edited by westo at Jan 4, 2007,
42
Quote by GiantRaven
I'm sure theres a Nigerian king just waiting for you to reply to his email
Infinity, definately.
But keep in mind im terrible at math.
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I believe the answer is 37.

But don't listen to me because I'm just pulling a random number out of my ass.

I play piano and guitar.
Do you play piano?
:]
Quote by lateraluspiral
Infinity, definately.
But keep in mind im terrible at math.

Not only are you terrible at math, but spelling as well. Maybe the whole intelligence thing just isn't for you.
100
Neste@
Cool@
To the core!
Quote by maroon5mustdie
Not only are you terrible at math, but spelling as well. Maybe the whole intelligence thing just isn't for you.

Oh no, my e-Pride. For the second time today!
EDIT: I missed one letter? Shut the fuck up, guy.
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Last edited by lateraluspiral at Jan 5, 2007,
The largest possible total is 100.

You could change up all the other numbers, and it would still be 100. Try it.
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Ok then. awesome.
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We are the music makers, we are the dreamers of dreams.
████████████
yeah, because if the bottom right is 25, then the right and bottom sides are also 25, because they each need to add up to equal the bottom right, and then the remaining four squares all have to add up to make one of the sides, so they're 25 too. 25+25+25+25 = 100
``````
each field must be equal
____ __
|    |  |
|____|__|
|____|__|
``````
Quote by Roger_Waters
^ wow i actually almost missed that hahaha iforgot your a genious

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69
I just ate a magic square.
Infinity. Just keep adding zeroes onto the end of the numbers.
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Quote by ljplum12
Infinity. Just keep adding zeroes onto the end of the numbers.

They all have to add up to twenty-five. Infinity is out.
No animals were harmed in order to bring you the above post. However, several photons were greatly inconvenienced.

ALL GLORY TO THE HYPNO-TOAD