## Poll

22 members have voted

ThatDonGuy
Joined: Jun 22, 2011
• Posts: 2751
January 10th, 2017 at 6:36:27 PM permalink

The solution to each equation is the product of the two numbers plus the smaller one. The order of the equations is irrelevant.
1 x 4 + 1 = 5
2 x 5 + 2 = 12
3 x 6 + 3 = 21
8 x 11 + 8 = 96

RS
Joined: Feb 11, 2014
• Posts: 4357
January 10th, 2017 at 11:53:51 PM permalink
Using the subtotal method:
x+y = f(x,y) = SUM[x, y, f(x-1, y-1)] where X > 0 OR Y > 0

-3+0 = -3
-2+1 = -1-3 = -4
-1+2 = 1-4 = -3
0+3 = 3-3 = 0
1+4 = 5+0 = 5
2+5 = 7+5 = 12
3+6 = 9+12 = 21
4+7 = 11+21 = 32
5+8 = 13+32 = 45
6+9 = 15+45 = 60
7+10 = 17+60 = 77
8+11 = 19+77 = 96

Using f(x,y) = x*(y+1) method:
f(8,11) = 8*(11+1) = 8*12 = 96

Like ME said -- there are many formulas that lead to the same answer....or that at least follow the pattern.

BTW, 5 does not exist in base 5.

5 in decimal is 10 in base-5: 1*5^1 + 0*5^0 Just like 2 in decimal is 10.
"Orchestration is the height of professionalism in advantage play, because it means playing to win the bigger game, the cat and mouse game, the game of getting away with playing to win."
MaxPen
Joined: Feb 4, 2015
• Posts: 717
January 11th, 2017 at 10:16:02 PM permalink
I think people are overthinking the problem. Sometimes you just have to strike the nail on the head. The answer is 40. Just my opinion.
odiousgambit
Joined: Nov 9, 2009
• Posts: 6870
January 12th, 2017 at 6:44:07 AM permalink
if there is no official answer, then this math exercise is perfect for the Millennials. Everybody is right and and we all get a trophy for participating!
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
Romes
Joined: Jul 22, 2014
• Posts: 3291
January 12th, 2017 at 6:50:39 AM permalink
Quote: odiousgambit

if there is no official answer, then this math exercise is perfect for the Millennials. Everybody is right and and we all get a trophy for participating!

Playing it correctly means you've already won.
Wizard
Joined: Oct 14, 2009
• Posts: 15364
January 12th, 2017 at 8:37:44 AM permalink

96.

Each number of the right side of the equation equals x*(y+1), where x is the first number and y is the second.

8*(11+1) = 96
It's not whether you win or lose; it's whether or not you had a good bet.
IndyJeffrey
Joined: Feb 10, 2013
• Posts: 64
January 12th, 2017 at 8:40:07 AM permalink
Quote: RS

Using the subtotal method:
x+y = f(x,y) = SUM[x, y, f(x-1, y-1)] where X > 0 OR Y > 0

-3+0 = -3
-2+1 = -1-3 = -4
-1+2 = 1-4 = -3
0+3 = 3-3 = 0
1+4 = 5+0 = 5
2+5 = 7+5 = 12
3+6 = 9+12 = 21
4+7 = 11+21 = 32
5+8 = 13+32 = 45
6+9 = 15+45 = 60
7+10 = 17+60 = 77
8+11 = 19+77 = 96

Using f(x,y) = x*(y+1) method:
f(8,11) = 8*(11+1) = 8*12 = 96

Like ME said -- there are many formulas that lead to the same answer....or that at least follow the pattern.

Thanks for making me feel less than knowledgable. I just looked for a pattern and came up with 96.
odiousgambit
Joined: Nov 9, 2009
• Posts: 6870
January 13th, 2017 at 3:32:13 AM permalink
Quote: Romes