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Three Numbers Puzzle

This Three Numbers Puzzle comes from THINK ABOUT IT! Mathematics Problems of the Day by Marcy Cook. Previously, I have shared the Sum to Twenty Puzzle and the Sum to Thirty Puzzle from this same book.

three numbers puzzle

In the three numbers puzzle, it is your task to use the numbers 0-9 once each (you will have one number that you will not use at all) to make 3 three-digit numbers.

The first number is three times the third number. The second number is the difference between the first number and the third number.

three numbers puzzle from marcy cook

So far, I have been able to find 5 solutions to this puzzle.

three numbers puzzle from marcy cook

Puzzle Solutions

Puzzle solutions are available on a password-protected solution page. I do not openly post the puzzle answer keys because one of my goals as a resource creator is to craft learning experiences for students that are non-google-able. I want teachers to be able to use these puzzles in their classrooms without the solutions being found easily on the Internet.

Please email me at sarah@mathequalslove.net for the password to the answer key database featuring all of my printable puzzles and math worksheets. I frequently have students emailing me for the answer key, so please specify in your email what school you teach at and what subjects you teach. If you do not provide these details, I will not be able to send you the password.

Not a teacher? Go ahead and send me an email as well. Just let me know what you are using the puzzles for. I am continually in awe of how many people are using these puzzles with scouting groups, with senior adults battling dementia, or as fun activities in their workplace. Just give me enough details so I know you are not a student looking for answers to the puzzle that was assigned as their homework!

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4 Comments

  1. Cool puzzle. I found 6 solutions by an exhaustive search using python. I believe Pasquale missed one.

  2. Thank you! Thank you! Thank you! For the amazing work that you do. I look forward to seeing your new post every day. This summer, I used some of your puzzles with my 5th graders in camp. At the end of the summer, I asked each student what was the best part of camp. A very enthusiastic student responed “Three Numbers Puzzle”. This student spent 45 minutes focused and determined to solve this puzzles. Thank you for making so many puzzles classroom ready for us all to enjoy. I am hoping that you will post more puzzles from the THINK ABOUT IT! by Marcy Cook book. Those puzzles were a favorite and allowed students to remain focus and collaborate with each other. I don’t see this book on the Marcy Cook website. Has it been renamed?

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