Math Riddle...
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TheNerd




Posts: 1025
Location: Israel
PostPosted: Wed, 19th Oct 2005 01:37    Post subject: Math Riddle...
all of the letters repersent a number between 1 to 9. ITS AN ADDITION! ABC+DEF=GHI

ABC
DEF
___
GHI

prove that GHI can be divided by 9...

have fun Cool

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Last edited by TheNerd on Wed, 19th Oct 2005 03:03; edited 2 times in total
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jonels
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Posts: 1038

PostPosted: Wed, 19th Oct 2005 01:45    Post subject:
abcdefghi=3 8 1 6 5 4 7 2 9


worked out by ab is divisible by 2
abc 3
abcd 4

and so on

i'm so smart


I looked up "gormless" in the dictionary, it said "without gorm" .... so i looked up "gorm" but it wasn't there ????


Last edited by jonels on Wed, 19th Oct 2005 01:47; edited 1 time in total
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TheNerd




Posts: 1025
Location: Israel
PostPosted: Wed, 19th Oct 2005 01:47    Post subject:
jonels wrote:
abcdefghi=3 8 1 6 5 4 7 2 9


i'm so smart


ha? explain


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jonels
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Posts: 1038

PostPosted: Wed, 19th Oct 2005 01:49    Post subject:
edit .. just explained ... j must = 0 to be divisible by 10 so the rest falls into place


I looked up "gormless" in the dictionary, it said "without gorm" .... so i looked up "gorm" but it wasn't there ????
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TheNerd




Posts: 1025
Location: Israel
PostPosted: Wed, 19th Oct 2005 01:57    Post subject:
nah dude...not exactly...or i misunderstood you.
each letter represnt a number between 1-9
that doesnt necesserely mean that a =1 and b=2 and so on....
Wink

so how come you decided that "ab" is divesable by 2????
"ab" can represent the nuber 13 and also 43 or 82....13 isnt divesable by 2


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jonels
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Posts: 1038

PostPosted: Wed, 19th Oct 2005 02:03    Post subject:
i didnt say that ... i said ab is divisible by 2 .. then abc is divisible 3 ... then abcd is divisble by 4

ect
ect

so 789 the last three digits of 3 8 1 6 5 4 7 2 9 and of course 3 8 1 6 5 4 7 2 9 are both divisible by 9 .... do you get it ?


try anyone .. say abcdefg.... 3 8 1 6 5 4 7 ... divisible by 7 ? .... yes


381 ? divisible by 3 ? yes



edit .. i see what you are saying now.. no 'j' is not 0 because its the tenth number alone, its because to be divisible by 10 it has to be '0' ..... the 5th one to be divisible by 5 has to be 5 or 0.. but since j is 0 then e must =5 ...ect ect


I looked up "gormless" in the dictionary, it said "without gorm" .... so i looked up "gorm" but it wasn't there ????
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TheNerd




Posts: 1025
Location: Israel
PostPosted: Wed, 19th Oct 2005 02:58    Post subject:
dude its an addition...


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Griffon
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Posts: 1875
Location: Belarus
PostPosted: Wed, 19th Oct 2005 03:13    Post subject:
You probably did not get teh question...

Example: 123+654=777 / 9 = 86.33333
That's wrong, on like 5 levels, you need all the letters to be different! and hte GHI have to be dividable by 9.

Oh I see what he means...
381654729
3 / 1
38 / 2
381 / 3
3816 / 4
38165 / 5
etc...


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roflman




Posts: 4

PostPosted: Thu, 20th Oct 2005 00:28    Post subject:
Laughing

GHI >= 123 and GHI <= 978 and G <> H, G <> I, H <> I

so ( GFI / 9 = residual 0) 9 * 2^x = GHI, then x = 4, 5 and 6 (144, 288 and 576)

so we have GFI = 576 and we need to get ABC and DEF .

I = C + F and we have 1 2 3 4 8 9 left, 6 = 2 + 4, C = 2 and F = 4

now A + D <= G (1 3 8 9) 1 + 3 = 4, A = 1 D = 3, so now we have 1B2 + 3E4 = 576

B can be 8 and E can be 9

182 + 394 = 576
192 + 384 = 576
184 + 392 = 576
194 + 382 = 576

576 / 9 = 64

Razz


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SycoShaman
VIP Master Jedi



Posts: 24468
Location: Toronto, Canada
PostPosted: Thu, 20th Oct 2005 06:23    Post subject:
roflman wrote:
Laughing

GHI >= 123 and GHI <= 978 and G <> H, G <> I, H <> I

so ( GFI / 9 = residual 0) 9 * 2^x = GHI, then x = 4, 5 and 6 (144, 288 and 576)

so we have GFI = 576 and we need to get ABC and DEF .

I = C + F and we have 1 2 3 4 8 9 left, 6 = 2 + 4, C = 2 and F = 4

now A + D <= G (1 3 8 9) 1 + 3 = 4, A = 1 D = 3, so now we have 1B2 + 3E4 = 576

B can be 8 and E can be 9

182 + 394 = 576
192 + 384 = 576
184 + 392 = 576
194 + 382 = 576

576 / 9 = 64

Razz


Laughing

At first i actually was trying to folow that jibberish
Laughing


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roflman




Posts: 4

PostPosted: Thu, 20th Oct 2005 19:00    Post subject:
its so simple, how can you not understand it? Confused Laughing


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