9sums - a logical deduction puzzle











up vote
3
down vote

favorite












Each set of minuses contains an integer in the range [1,5]. The given numbers are the sum of the surrounding 4 numbers.






---    ---    ---    ---

    13     14     11

---    ---    ---    ---

    11     10     13

---    ---    ---    ---

    11      9     14

---    ---    ---    ---



Can you solve the grid?






mathematics logical-deduction calculation-puzzle







share|improve this question






















  • Are there any rules on number of uses of each integer or using the same integer per row/column?
    – AHKieran
    1 hour ago










  • @AHKieran; not yet!
    – JonMark Perry
    1 hour ago















up vote
3
down vote

favorite












Each set of minuses contains an integer in the range [1,5]. The given numbers are the sum of the surrounding 4 numbers.






---    ---    ---    ---

    13     14     11

---    ---    ---    ---

    11     10     13

---    ---    ---    ---

    11      9     14

---    ---    ---    ---



Can you solve the grid?






mathematics logical-deduction calculation-puzzle







share|improve this question






















  • Are there any rules on number of uses of each integer or using the same integer per row/column?
    – AHKieran
    1 hour ago










  • @AHKieran; not yet!
    – JonMark Perry
    1 hour ago













up vote
3
down vote

favorite









up vote
3
down vote

favorite











Each set of minuses contains an integer in the range [1,5]. The given numbers are the sum of the surrounding 4 numbers.






---    ---    ---    ---

    13     14     11

---    ---    ---    ---

    11     10     13

---    ---    ---    ---

    11      9     14

---    ---    ---    ---



Can you solve the grid?






mathematics logical-deduction calculation-puzzle







share|improve this question













Each set of minuses contains an integer in the range [1,5]. The given numbers are the sum of the surrounding 4 numbers.






---    ---    ---    ---

    13     14     11

---    ---    ---    ---

    11     10     13

---    ---    ---    ---

    11      9     14

---    ---    ---    ---



Can you solve the grid?






mathematics logical-deduction calculation-puzzle




mathematics logical-deduction calculation-puzzle






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked 1 hour ago









JonMark Perry

16.8k63280




16.8k63280












  • Are there any rules on number of uses of each integer or using the same integer per row/column?
    – AHKieran
    1 hour ago










  • @AHKieran; not yet!
    – JonMark Perry
    1 hour ago


















  • Are there any rules on number of uses of each integer or using the same integer per row/column?
    – AHKieran
    1 hour ago










  • @AHKieran; not yet!
    – JonMark Perry
    1 hour ago
















Are there any rules on number of uses of each integer or using the same integer per row/column?
– AHKieran
1 hour ago




Are there any rules on number of uses of each integer or using the same integer per row/column?
– AHKieran
1 hour ago












@AHKieran; not yet!
– JonMark Perry
1 hour ago




@AHKieran; not yet!
– JonMark Perry
1 hour ago










4 Answers
4






active

oldest

votes

















up vote
4
down vote



accepted














 2      5      3      1

    13     14     11

 3      3      3      4

    11     10     13

 4      1      3      3

    11      9     14

 5      1      4      4






share|improve this answer



















  • 1




    Well done! I edited the answer to make it a little more readable.
    – Christoph
    1 hour ago


















up vote
2
down vote













My answer:




Not sure how to format this, but from left to right, then top to bottom, the numbers would be:

2, 5, 5, 1

5, 1, 3, 2

2, 3, 3, 5

5, 1, 2, 4







share|improve this answer





















  • from the looks of it there are multiple solutions, for some reason the other answer didn't appear until after I posted mine...
    – AHKieran
    1 hour ago


















up vote
2
down vote













Its has many solutons, just need to start somewhere




3      3      3       1

   13     14    11

2      5      3       4

   11     10     13

2      1      1       5

   11     9     14

5      3      4       4







share|improve this answer




























    up vote
    1
    down vote














    Also this grid is a solution :


    2 4 5 2

    3 4 1 3

    3 1 4 5

    4 3 1 4







    share|improve this answer










    New contributor




    richard is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.


















    • Welcome to Puzzling.SE. Take the tour. I have edited your answer to include it with a spoiler markup >!.
      – u_ndefined
      17 mins ago











    Your Answer





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    4 Answers
    4






    active

    oldest

    votes








    4 Answers
    4






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes








    up vote
    4
    down vote



    accepted













    
 2      5      3      1
    
    13     14     11
    
 3      3      3      4
    
    11     10     13
    
 4      1      3      3
    
    11      9     14
    
 5      1      4      4






    share|improve this answer



















    • 1




      Well done! I edited the answer to make it a little more readable.
      – Christoph
      1 hour ago















    up vote
    4
    down vote



    accepted













    
 2      5      3      1
    
    13     14     11
    
 3      3      3      4
    
    11     10     13
    
 4      1      3      3
    
    11      9     14
    
 5      1      4      4






    share|improve this answer



















    • 1




      Well done! I edited the answer to make it a little more readable.
      – Christoph
      1 hour ago













    up vote
    4
    down vote



    accepted







    up vote
    4
    down vote



    accepted









    
 2      5      3      1
    
    13     14     11
    
 3      3      3      4
    
    11     10     13
    
 4      1      3      3
    
    11      9     14
    
 5      1      4      4






    share|improve this answer

















    
 2      5      3      1
    
    13     14     11
    
 3      3      3      4
    
    11     10     13
    
 4      1      3      3
    
    11      9     14
    
 5      1      4      4







    share|improve this answer














    share|improve this answer



    share|improve this answer








    edited 1 hour ago









    Christoph

    3,3261426




    3,3261426










    answered 1 hour ago









    Alex

    662




    662








    • 1




      Well done! I edited the answer to make it a little more readable.
      – Christoph
      1 hour ago














    • 1




      Well done! I edited the answer to make it a little more readable.
      – Christoph
      1 hour ago








    1




    1




    Well done! I edited the answer to make it a little more readable.
    – Christoph
    1 hour ago




    Well done! I edited the answer to make it a little more readable.
    – Christoph
    1 hour ago










    up vote
    2
    down vote













    My answer:




    Not sure how to format this, but from left to right, then top to bottom, the numbers would be:

    2, 5, 5, 1

    5, 1, 3, 2

    2, 3, 3, 5

    5, 1, 2, 4







    share|improve this answer





















    • from the looks of it there are multiple solutions, for some reason the other answer didn't appear until after I posted mine...
      – AHKieran
      1 hour ago















    up vote
    2
    down vote













    My answer:




    Not sure how to format this, but from left to right, then top to bottom, the numbers would be:

    2, 5, 5, 1

    5, 1, 3, 2

    2, 3, 3, 5

    5, 1, 2, 4







    share|improve this answer





















    • from the looks of it there are multiple solutions, for some reason the other answer didn't appear until after I posted mine...
      – AHKieran
      1 hour ago













    up vote
    2
    down vote










    up vote
    2
    down vote









    My answer:




    Not sure how to format this, but from left to right, then top to bottom, the numbers would be:

    2, 5, 5, 1

    5, 1, 3, 2

    2, 3, 3, 5

    5, 1, 2, 4







    share|improve this answer












    My answer:




    Not sure how to format this, but from left to right, then top to bottom, the numbers would be:

    2, 5, 5, 1

    5, 1, 3, 2

    2, 3, 3, 5

    5, 1, 2, 4








    share|improve this answer












    share|improve this answer



    share|improve this answer










    answered 1 hour ago









    AHKieran

    4,091636




    4,091636












    • from the looks of it there are multiple solutions, for some reason the other answer didn't appear until after I posted mine...
      – AHKieran
      1 hour ago


















    • from the looks of it there are multiple solutions, for some reason the other answer didn't appear until after I posted mine...
      – AHKieran
      1 hour ago
















    from the looks of it there are multiple solutions, for some reason the other answer didn't appear until after I posted mine...
    – AHKieran
    1 hour ago




    from the looks of it there are multiple solutions, for some reason the other answer didn't appear until after I posted mine...
    – AHKieran
    1 hour ago










    up vote
    2
    down vote













    Its has many solutons, just need to start somewhere




    3      3      3       1

       13     14    11

    2      5      3       4

       11     10     13

    2      1      1       5

       11     9     14

    5      3      4       4







    share|improve this answer

























      up vote
      2
      down vote













      Its has many solutons, just need to start somewhere




      3      3      3       1

         13     14    11

      2      5      3       4

         11     10     13

      2      1      1       5

         11     9     14

      5      3      4       4







      share|improve this answer























        up vote
        2
        down vote










        up vote
        2
        down vote









        Its has many solutons, just need to start somewhere




        3      3      3       1

           13     14    11

        2      5      3       4

           11     10     13

        2      1      1       5

           11     9     14

        5      3      4       4







        share|improve this answer












        Its has many solutons, just need to start somewhere




        3      3      3       1

           13     14    11

        2      5      3       4

           11     10     13

        2      1      1       5

           11     9     14

        5      3      4       4








        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered 1 hour ago









        Naeem Shaikh

        819410




        819410






















            up vote
            1
            down vote














            Also this grid is a solution :


            2 4 5 2

            3 4 1 3

            3 1 4 5

            4 3 1 4







            share|improve this answer










            New contributor




            richard is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.


















            • Welcome to Puzzling.SE. Take the tour. I have edited your answer to include it with a spoiler markup >!.
              – u_ndefined
              17 mins ago















            up vote
            1
            down vote














            Also this grid is a solution :


            2 4 5 2

            3 4 1 3

            3 1 4 5

            4 3 1 4







            share|improve this answer










            New contributor




            richard is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.


















            • Welcome to Puzzling.SE. Take the tour. I have edited your answer to include it with a spoiler markup >!.
              – u_ndefined
              17 mins ago













            up vote
            1
            down vote










            up vote
            1
            down vote










            Also this grid is a solution :


            2 4 5 2

            3 4 1 3

            3 1 4 5

            4 3 1 4







            share|improve this answer










            New contributor




            richard is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.










            Also this grid is a solution :


            2 4 5 2

            3 4 1 3

            3 1 4 5

            4 3 1 4








            share|improve this answer










            New contributor




            richard is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.









            share|improve this answer



            share|improve this answer








            edited 20 mins ago









            u_ndefined

            2,628436




            2,628436






            New contributor




            richard is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.









            answered 38 mins ago









            richard

            111




            111




            New contributor




            richard is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.





            New contributor





            richard is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.






            richard is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.












            • Welcome to Puzzling.SE. Take the tour. I have edited your answer to include it with a spoiler markup >!.
              – u_ndefined
              17 mins ago


















            • Welcome to Puzzling.SE. Take the tour. I have edited your answer to include it with a spoiler markup >!.
              – u_ndefined
              17 mins ago
















            Welcome to Puzzling.SE. Take the tour. I have edited your answer to include it with a spoiler markup >!.
            – u_ndefined
            17 mins ago




            Welcome to Puzzling.SE. Take the tour. I have edited your answer to include it with a spoiler markup >!.
            – u_ndefined
            17 mins ago


















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