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Matchstick puzzle: Which number is smaller than 731?

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What makes this puzzle so interesting

Matchstick puzzles often appear simple, but require close observation. Our eyes initially recognize completed numbers and treat them like unchanging symbols. To discover the solution, one must briefly abandon this familiar perception and focus solely on the individual lines.

The difficulty in this puzzle doesn’t lie in complicated calculations. The number comparison is very simple. The real challenge is recognizing a valid change within the existing shapes.

Whoever first tried to rearrange the 7 or the 1 wasn’t necessarily wrong. Such attempts are part of the problem-solving process. The crucial point is to then systematically check whether the resulting shape represents a valid digit and whether the new number has actually become smaller.

The solution explained briefly again

  1. Consider the middle number 3.
  2. Take the bottom vertical match on your right side.
  3. Place it at the bottom left of the number.
  4. The 3 becomes a 2.
  5. 731 becomes 721.

The number we are looking for is therefore 721. Only one matchstick is moved, and the result is clearly less than 731.

Conclusion

The solution to this matchstick puzzle lies in the middle digit. By moving the bottom right matchstick of the 3 to the bottom left side, the 3 transforms into a 2. Thus, 731 becomes the number 721.

The puzzle demonstrates that a small change can be enough if one examines the individual shapes closely. By paying attention not only to the total number but also to the structure of each digit, the solution can be found with a single, clever move.

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