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Category: | Logic |

Submitted By: | eighsse |

Fun: | (2.87) |

Difficulty: | (2.86) |

In Numberrangements, you are given an arrangement of letters. The letters represent all of the whole numbers from 1 to the total number of letters used. Each letter represents a different number. Using the clues given, find which number each letter represents.

ABC

DEF

GHI

1. The sum of the top row is greater than the sum of the middle row, which is greater than the sum of the bottom row.

2. E is a prime factor of G.

3. F is greater than A.

4. The sum of B and G is equal to H.

5. I is not 1.

Show Answer |

Posted by charlottes-odd | 12/23/13 |

Another difficult one (for me anyway)! Good though I like it :D | |

Posted by eighsse | 12/23/13 |

Thanks glad you liked it :) and yes it's quite difficult. | |

Posted by castiel | 02/20/14 |

Very fun! Would love to see more like this :) | |

Posted by eighsse | 02/20/14 |

Thank you casteil! I will try to come up with more :) | |

Posted by eighsse | 02/20/14 |

castile* sorry! | |

Posted by eighsse | 02/20/14 |

LOLOL. Let's try again. c-a-s-t-i-e-l. :D | |

Posted by EnderofGames | 05/11/15 |

I came up with 8-5-4/6-1-9/2-7-3, forgetting that people don't consider 1 to be prime. Silly me. :lol: | |

Posted by eighsse | 05/12/15 |

Good try anyway EoG; I'm sure you'd have gotten it had you remembered the weirdness of 1 not being prime. It's debatably prime, really, but convention is to consider it non-prime -- mostly because it keeps the fundamental theorem of arithmetic simple to state. | |

Posted by asertus0 | 07/11/15 |

I think I found alternative solution. A=5; B=7; C=6; D=4; E=2; F=9; G=1; H=8; I=3 | |

Posted by eighsse | 07/11/15 |

The only problem is, 2 is not a prime factor of 1. | |

Posted by Babe | 08/06/15 |

I was smart enough to not even try this one. Besides that, I was never a math person. Got by in school with a passing grade and that was it for math. I did excellent in English and other subjects. Just not math! UGH! :( | |

Posted by Snowdog | 10/12/16 |

Terrific puzzle! :D My initial reaction was that there is not enough info to sort it out. It is an interesting mix of limiting possibilities by deduction, then switching to a bit of trial and error. I don't see a direct deductive solution. This is one of my favorites. | |

Posted by eighsse | 10/12/16 |

Thanks, Snowdog! Very good to hear that you enjoyed it. |

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