I find this question intriguing and I want to know the best way of solving it. I tried solving it for a while but got the answer after using a tedious method. Please tell me how to solve this question faster.

I got the answer, as you can see in the edited discussion. But I wanted to know the fastest way of solving it, since the method i used required the use of a calculator since large numbers were involved...

The only thing I could come up with is-
Let a be the number of coconuts at first,
then
\(a = 5b + 1\)
\(4b= 5c+1\)
\( 4c=5d+1\)
and so on.. but that won't help.. will it?

That's all very well, but when you solve the set of 6 or 7 simultaneous linear equations, it leaves you exhausted with the strain of multiplying large numbers and is also quite confusing. It is easy to make a mistake. You will get the answer after, say, 45 minutes. That's all.

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TopNewestwork backwards, and assume the smallest possible value for the diminished nut pile. :) that should get you started.

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I got the answer, as you can see in the edited discussion. But I wanted to know the fastest way of solving it, since the method i used required the use of a calculator since large numbers were involved...

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The only thing I could come up with is- Let a be the number of coconuts at first, then \(a = 5b + 1\) \(4b= 5c+1\) \( 4c=5d+1\) and so on.. but that won't help.. will it?

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That's all very well, but when you solve the set of 6 or 7 simultaneous linear equations, it leaves you exhausted with the strain of multiplying large numbers and is also quite confusing. It is easy to make a mistake. You will get the answer after, say, 45 minutes. That's all.

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exactly... actually the board exams(West bengal board) will start tomorrow so i can;t actually ponder over a sum for long..

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Please could you send to me the whole document ( I want other questions like this one ) ?

If yes, this is my email : imenetalk@hotmail.fr

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This question is a classic puzzler, it is also found online...try http://orion.math.iastate.edu/burkardt/puzzles/coconut_puzzle.html

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