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6 hours ago, jelida said:

You guys are all so bright! I got as far as 1, 2.....then got stuck as my shoes have laces!

Jerry

One, Two, Buckle My Shoe. I remember reading that Agatha Christie novel many years ago. Can't remember if the story is any good now.

Peckris' puzzle: You can make any number from 1-7 inclusive using the numbers 1, 2 and 4. Hence, 1, 2, 4 and 8 let you make any number from 1-15 inclusive.

1, 2, 4, 8, 16 can get you any number 1-31 inclusive. 

1, 2, 4, 8,16, 32, 64, 128 and  256 get you any number 1-511 inclusive. That leaves you with 489 which is the number in the last envelope. There are probably a number of other solutions. 

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Posted (edited)

Well done all, though I should point out that @Paddy was the first with the answer (via PM)

Edited by Peckris 2

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