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A neat trick (Posted on 2013-12-26) Difficulty: 3 of 5
A magician asks you to choose two integers between 1 and 50 and add them.
Then add the largest two of the three integers at hand.
Then add the largest two again.
Repeat this around ten times.
Disclose to the magician your final number n.

The magician then tells you the next number.

How?

See The Solution Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): I would need a calculator (spoiler) | Comment 4 of 5 |
(In reply to re: I would need a calculator (spoiler) by Charlie)

Excellent!  thanks, Charlie.


Just to recap, you have found that using 1.618 as a multiplier suffices if the volunteer from the audience does 9, 10 or 11 calculations, but can be wrong if he does more than 11 or less than 9.  Using 1.618034 extends the upper range, but is still inaccurate if the volunteer does less than 9 calculations.

I guess the magician needs to insist that the volunteer does at least 9 calculations ...


  Posted by Steve Herman on 2013-12-26 14:35:10
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