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Author Topic:   Simple but fun math problem
Percy
Member
Posts: 22505
From: New Hampshire
Joined: 12-23-2000
Member Rating: 5.4


Message 1 of 21 (388680)
03-07-2007 8:15 AM


I heard this on a podcast, I won't say which one in order to discourage people from looking up the answer.
Place three digits, 2, 7 and one other, in an expression that equals 8. You can use +, -, *, / and exponentiation. Decimal points and parentheses may be used freely, but each digit may only appear once in the expression. Do this nine times where the remaining digit is 1 through 9. When you're done you'll have 9 expressions, each consisting of only three digits (2, 7 and the remaining digit of 1 through 9) and all equal to 8.
For example, when the third digit is 1, the expression is:
7 + 2 - 1 = 8
Now find the remaining 8 expressions.
--Percy

Replies to this message:
 Message 3 by BMG, posted 03-07-2007 9:25 AM Percy has not replied
 Message 4 by Wounded King, posted 03-07-2007 9:32 AM Percy has replied
 Message 11 by Discreet Label, posted 03-07-2007 11:43 AM Percy has not replied
 Message 13 by Modulous, posted 03-07-2007 12:21 PM Percy has not replied
 Message 15 by Zawi, posted 03-07-2007 12:36 PM Percy has replied

  
Percy
Member
Posts: 22505
From: New Hampshire
Joined: 12-23-2000
Member Rating: 5.4


Message 5 of 21 (388689)
03-07-2007 9:43 AM
Reply to: Message 4 by Wounded King
03-07-2007 9:32 AM


One easy way to hide things is to use this approach:
This text will be hidden.
People can click on "peek" to see the hidden text.
It looks like you've provided an additional solution for 1, three solutions for 3 (one of which is incorrect), two solutions for 9, and no solutions for 4, 5, 7 or 8.
--Percy

This message is a reply to:
 Message 4 by Wounded King, posted 03-07-2007 9:32 AM Wounded King has replied

Replies to this message:
 Message 6 by Wounded King, posted 03-07-2007 9:48 AM Percy has not replied
 Message 8 by Percy, posted 03-07-2007 10:23 AM Percy has not replied

  
Percy
Member
Posts: 22505
From: New Hampshire
Joined: 12-23-2000
Member Rating: 5.4


Message 8 of 21 (388695)
03-07-2007 10:23 AM
Reply to: Message 5 by Percy
03-07-2007 9:43 AM


Just so people realize what WoundedKing is doing, he's filling in the answers in the blank space as he figures them out.
Edited by Percy, : Clicked too soon.

This message is a reply to:
 Message 5 by Percy, posted 03-07-2007 9:43 AM Percy has not replied

  
Percy
Member
Posts: 22505
From: New Hampshire
Joined: 12-23-2000
Member Rating: 5.4


Message 10 of 21 (388704)
03-07-2007 11:15 AM
Reply to: Message 9 by Jazzns
03-07-2007 10:39 AM


Re: 5 & 7
Dots are good, and be devisive.
--Percy
Edited by Percy, : Wrong hint.

This message is a reply to:
 Message 9 by Jazzns, posted 03-07-2007 10:39 AM Jazzns has not replied

  
Percy
Member
Posts: 22505
From: New Hampshire
Joined: 12-23-2000
Member Rating: 5.4


Message 17 of 21 (388724)
03-07-2007 12:48 PM
Reply to: Message 15 by Zawi
03-07-2007 12:36 PM


Progress so far...
Wounded King seems to have all but 5, 7 and 8. I don't know what a "..." operator is, but it isn't one of the operators listed for this problem.
Discreet Label claims to have all but 8 and 9.
Zawinul found that 0 also has an answer, he has 8, and he claims all the rest but 5 and 7.
Modulus has all but 7.
I didn't intend my hints to be misleading, but I didn't want to give away the answers, either. Apologies if they've sent anyone off in the wrong direction.
--Percy
Edited by Percy, : Update summary.

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Replies to this message:
 Message 18 by cavediver, posted 03-07-2007 12:51 PM Percy has not replied
 Message 19 by Modulous, posted 03-07-2007 12:54 PM Percy has replied

  
Percy
Member
Posts: 22505
From: New Hampshire
Joined: 12-23-2000
Member Rating: 5.4


Message 21 of 21 (388732)
03-07-2007 1:08 PM
Reply to: Message 19 by Modulous
03-07-2007 12:54 PM


Re: Progress so far...
Yeah, I figured that out a few minutes later and edited my post.
--Percy

This message is a reply to:
 Message 19 by Modulous, posted 03-07-2007 12:54 PM Modulous has not replied

  
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