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What is the next number in the series?

15 29 56 108 208 ?




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By using all numbers, i.e. 123456789 and subtraction/addition, operators number 100 can be formed in many ways.
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But if we add a condition use of the number 32 is a must. Then there are limited solutions.
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A man was telling some of his war stories to his grandchildren.
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Amazing Facts

Word ladder puzzle

The word ladder puzzle was invented by Lewis Carroll, author of Alice’s Adventures in Wonderland.