OK, here we go folks:

I am standing in front of a machine. It has 3 cogs on it, with the numbers 1 to 3 printed in a clockwise fashion. The cogs also turn clockwise.

The machine has two levers, one on the left and one on the right. When I pull the one on the left, the bottom 2 cogs advance to the next number. When I pull the one on the right, the top two cogs advance similarly.

All 3 cogs currently show the number 3. How do I change that to 2,2,1 reading from top to bottom ? There are a total of 9 pulls of the levers. I believe it has to be done in 8.

What is the combination of left and right pulls to get me to 2,2,1 ?

Many Thanks !!!

I am standing in front of a machine. It has 3 cogs on it, with the numbers 1 to 3 printed in a clockwise fashion. The cogs also turn clockwise.

The machine has two levers, one on the left and one on the right. When I pull the one on the left, the bottom 2 cogs advance to the next number. When I pull the one on the right, the top two cogs advance similarly.

All 3 cogs currently show the number 3. How do I change that to 2,2,1 reading from top to bottom ? There are a total of 9 pulls of the levers. I believe it has to be done in 8.

What is the combination of left and right pulls to get me to 2,2,1 ?

Many Thanks !!!

Comments

Look.

The cog in the middle must advance 2, 5 or 8 times in order to show the "2".

This cog will advance each time you pull any of the levers. Let's then assume that the lever shoud be pulled 8 times.

The top cog must advance 2, 5 or 8 times in order to show the "2".

The bottom cog must advance 1, 4 or 7 times in order to show the "1".

Now, we should be able to add the number of times the top cog must advance to the number of times the bottom cog must advance and the result should be 8. Not possible, I'm afraid.

So, what's tricky here?

Can I pull two levers at a time?

rgds,

cairn

cairnAnonymous

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