This is really freaky! I didn't even write my number down in case this little critter was cheating by peeking! I haven't a clue how this is done. Play the game here:

http://www.learnenglish.org.uk/games/magic-gopher-central.swf

If you figure out how it works let me KNOW!!!! I've tried this several times with different numbers each time. The only time it didn't work was once when **I** made a mistake.

Marilyn

*This message was edited Feb 10, 2007 4:48 AM*

# Magic Gopher

I have no idea Marilyn. It's freaky for sure.

Weird, for sure. I even played once without thinking of a number and the game played on without me.

We need a math wiz to come along and explain this one! Fun.

I will give you a hint. Look for the multiples of 9. Look at what the answers always are......

23-5=18

88-16=72

67-17=54

OK, I see that. But how does it know WHICH number you chose to begin with in order to come up with the end result?

Doesn't matter. Look at the multiples of nine each time. They are all the same. Any 2 digit number less the sum of its numerals is a multiple of nine.

I still don't understand. I guess I'm not much of a mathemetician.

Okay. Relax and tell yourself that it is easy.

Take the 2 digit number ie: 64

Subtract the sum of its numerals added together 6+4=10

64-10=54

54 is a multiple of 9

6x9=54

The answer to these is always a multiple of nine. One of those math flukes. So it does no matter which 2 digit number you choose.

If you look at the final page with the symbols, all the multiples of nine will have the same symbol.

There are several final pages so that it looks like the symbols change but the multiples of 9 will always have the same symbol.

9 and its multiples have lots of magic atatched to them. One of the handiest is: if you are balancing something ie: checkbook and you are off by a number that is a multiple of 9, you have reversed a number somewhere in you calculations.

I understand now. It wasn't a matter of math at all, except for the multiple of 9 issue. It was that the SYMBOL was the SAME for all answers which were a multiple of 9. In addition, those symbols changed for all of those answers each time you played so you didn't realize all multiple of 9 answers had the same symbol. Got it! Thanks.

From those days of the dreaded Algebra class -

Consider the number AB, which is really

10A + B

Add the digits of the number

A + B

Now subtract that sum from the original number

(10 A + B) - (A + B) = 10A + B - A - B = 10 A - A + B - B = 10 A - A = 9A

So, you will always get an answer which is 9 times your 1st digit, which will always lead you to the party hat symbol in the game.

Guess what my first profession was.

*This message was edited May 22, 2016 7:18 AM*