3 Replies - 3388 Views - Last Post: 14 May 2014 - 09:51 AM

#1 thetruejd  Icon User is offline

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9 digit number guess (hints on inside)

Posted 12 April 2014 - 09:40 PM

9 digit number. Hints are all you get, can you do it?

HINTS:

- 1st + 3rd = 2nd
- 3rd + 5th = 4th
- 6th + 7th = 4th
- 1st + 9th = 4th
- 3rd + 9th = 7th
- 5th + 6th = 2nd
- 3rd + 6th = 1st
- 8th = 0



Good Luck

Replies To: 9 digit number guess (hints on inside)

#2 belgarion262  Icon User is offline

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Re: 9 digit number guess (hints on inside)

Posted 22 April 2014 - 12:56 AM

So we start off with this:

abcdefg0i

From what you tell us we get this:

a+c=b
c+e=d
f+g=d
a+i=d
c+i=g
e+f=b
c+f=a


My questions is, is each digit unique? so it's from 1-9 but only one of each?

#3 belgarion262  Icon User is offline

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Re: 9 digit number guess (hints on inside)

Posted 22 April 2014 - 08:06 AM

I'll have to sit down with a piece of paper and a pen to work this out.

#4 Robin19  Icon User is offline

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Re: 9 digit number guess (hints on inside)

Posted 14 May 2014 - 09:51 AM

I used Excel as my paper. I was able to use it for quickly replacing parts of the equations (ie set H1 to 0 to update all references to H). I'd have to retrace my steps to show my proof.

Spoiler


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