Grades 9-10 Video Solutions 2013-Level 9&10 Video Solutions 2013 problem25

Level 9&10 Video Solutions 2013 problem25

Video Transcription

Video Summary

The problem involves arranging numbers 1 to 10 in a circle, summing each number with its neighbors to create a new list, and finding the highest possible minimum value in this list. An example arrangement results in 15 as the smallest number in the new list. The task is to determine if a greater minimum value can be achieved. Calculating possible sums and considering the limit set by the total of the first nine numbers, it is concluded that 15 is indeed the maximum possible value for the smallest number achievable within the constraints.

Keywords

circle arrangement

number summation

minimum value

optimization problem

mathematical constraints