Pool ball mathematics and codes

Guy Manges said:
Should we use pool ball colors for mathematics and codes, like to remember numbers and others for memory...
Click to expand...
There is a pattern to the numbers and colors...
- 1-2-3 (and 9-10-11) are primary colors
- 4-5-6 (and 12-13-14) are secondary colors (mixes of two primary colors)
- 7 (and 15) are the same tertiary color (a mix of a primary and a secondary color)
- 8 is all colors and the CB is none (or vice verse)

pj
chgo

Pool Ball Colors.jpg
 
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A traditional math problem is the product of three numbers is sixteen. The sum of the three numbers is eleven.

Can you identify three billiard ball numbers that solve this system of equations?
 
Three numbers in descending order form a three digit number. If you subtract the reverse of that number you get orange-yellow-purple.

What are the three numbers?

This one has ambiguity. Telling you the difference is 594, takes the ambiguity away.
 
You could take 3 (or 4) random pool balls in each hand, roll them lengthwise down the table, and Jimmy Moore could add up, and tell you the total of the ball numbers, before they hit the end rail. Pretty amazing, and a good proposition bet, too. There is a video of him doing it, somewhere. (that's where I saw it).
 
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