## Poll

22 members have voted

beachbumbabs
Joined: May 21, 2013
• Posts: 8339
January 10th, 2017 at 11:59:32 AM permalink
So. This is from my Facebook feed. There have been almost 800 answers so far, and none that agree with mine that I've seen. Their most common answers are listed above. So I'm bringing it here, to the experts. I'll post the question; please answer the poll above before you read any responses. I will put my answer in a spoiler tag, and would appreciate you all doing the same.

Fwiw, whoever authored this has not yet confirmed their solution.

1+4=5
2+5=12
3+6=21
8+11=?
"If the house lost every hand, they wouldn't deal the game."
beachbumbabs
Joined: May 21, 2013
• Posts: 8339
January 10th, 2017 at 12:02:13 PM permalink

I do not know the author's original intent. But one correct answer is 201, and does not require manipulation of the equations as other solutions above do.

Each equation is in base 10. Each solution is in another base, diminishing by 1.

The first equation is expressed in base 10, answered in base 6. 5 in base 10= 5 in base 6.
The second is expressed in base 10, answered in base 5. 7 in base 10 is 12 in base 5.
The third is expressed in base 10, answered in base 4. 9 in base 10 is 21 in base 4.
The last equation, expressed in base 10, should be answered in base 3, to follow the pattern of previous answers. 19 in base 10 = 201 in base 3.
"If the house lost every hand, they wouldn't deal the game."
Ayecarumba
Joined: Nov 17, 2009
• Posts: 4899
Thanks for this post from:
January 10th, 2017 at 12:10:20 PM permalink
40. It appears the "total" is the sum of the equation + the prior answer.

Is part of the answer to also come up with the next equation in the sequence?
America is all about speed. Hot, nasty, bad-ass speed. - Eleanor Roosevelt, 1936
Romes
Joined: Jul 22, 2014
• Posts: 3291
Thanks for this post from:
January 10th, 2017 at 12:14:30 PM permalink

The pattern appears to be the sum of the first 2 numbers + the result of the previous numbers... Thus:

4 + 7 = 11 (plus previous 21) = 32
5 + 8 = 45
6 + 9 = 60
7 + 10 = 77
8 + 11 = 96

..of course if you're not supposed to extrapolate, then it would be 19 + 21 = 40.
Last edited by: Romes on Jan 10, 2017
Playing it correctly means you've already won.
Joeman
Joined: Feb 21, 2014
• Posts: 779
Thanks for this post from:
January 10th, 2017 at 12:18:16 PM permalink
96

The '+' operator here does not signify addition, but is a more complex operation defined by the following:

a '+' b = (a X b) + a

So:

(1 x 4) + 1 = 5
(2 x 5) + 2 = 12
(3 x 6) + 3 = 21
(8 x 11) + 8 = 96
"Dealer has 'rock'... Pay 'paper!'"
odiousgambit
Joined: Nov 9, 2009
• Posts: 6870
January 10th, 2017 at 12:20:26 PM permalink
if you put a plus sign after each sum and consider the shown sums subtotals, to be added as part of the last sum, that works, and the last sum is forty. Next sequence can't guess . I love when I can answer math questions verbally as that is how my brain works LOL.l PS: after looking now, wow are there a bunch of different responses!
Baccarat is a game whereby the croupier gathers in money with a flexible sculling oar, then rakes it home. If I could have borrowed his oar I would have stayed. ~Mark Twain
Doc
Joined: Feb 27, 2010
• Posts: 6060
January 10th, 2017 at 12:23:23 PM permalink
Quote: Romes

The pattern appears to be the sum of the first 2 numbers + the result of the previous numbers... Thus:

4 + 7 = 11 (plus previous 21) = 32
5 + 8 = 45
6 + 9 = 60
7 + 10 = 77
8 + 11 = 98

..of course if you're not supposed to extrapolate, then it would be 19 + 21 = 40.

Romes, are you saying that:
77+8+11=98

How is that???
Romes
Joined: Jul 22, 2014
• Posts: 3291
January 10th, 2017 at 12:34:06 PM permalink
Quote: Doc

Quote: Romes

The pattern appears to be the sum of the first 2 numbers + the result of the previous numbers... Thus:

4 + 7 = 11 (plus previous 21) = 32
5 + 8 = 45
6 + 9 = 60
7 + 10 = 77
8 + 11 = 98

..of course if you're not supposed to extrapolate, then it would be 19 + 21 = 40.

Romes, are you saying that:
77+8+11=98

How is that???

Arithmetic error in typing =)...
96...
Playing it correctly means you've already won.
beachbumbabs
Joined: May 21, 2013
• Posts: 8339
January 10th, 2017 at 12:47:40 PM permalink
Quote: Doc

Quote: Romes

The pattern appears to be the sum of the first 2 numbers + the result of the previous numbers... Thus:

4 + 7 = 11 (plus previous 21) = 32
5 + 8 = 45
6 + 9 = 60
7 + 10 = 77
8 + 11 = 98

..of course if you're not supposed to extrapolate, then it would be 19 + 21 = 40.

Romes, are you saying that:
77+8+11=98

How is that???

Because everything looks like 21 to romes. :)
"If the house lost every hand, they wouldn't deal the game."
Johnzimbo
Joined: Sep 29, 2010