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1.2                                                    UNDERSTANDING


                                                                                  ARITHMAGON






                 Look at  the  following  triangle. It  has some  numbers  written on the  edges.
                 Let us learn to solve this triangle puzzle using addition and subtraction.

                 We have to fill the circles with numbers.



                                                                    The bottom square has 4 written in it.

                                                                    The circles on both sides of this square
                                                                    should have numbers that add up to 4.


                             7                   5

                                                                   Step  1    Choose the smallest number
                                                                               (here 4).

                                                                   Step  2   Make combinations (for
                                       4                                      example, 3 + 1 = 4 or 2 + 2 = 4)
                                                                              to fill in the neighboring circles:
                                                                              pink and blue.

                                                                   Step  3   When you have the possible
                                       4                                      answers, you will make a
                                                                              similar list for the second
                                                                              smallest number (here 5).
                                                                   Step  4   When the above steps give the
                                                                              same numbers in the number
                             7                   5                            combination, then it means
                                                                              you have got your answer.

                                                                   Step  5   The circle for the biggest
                                                                              number gets filled
                                                                              automatically.
                   3                   4                  1







                          An arithmagon is a polygon with numbers at its vertices
                          which determine the numbers written on its edges.




                                                                                       Level 1: Reasoning        11
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