anemone Gold Member MHB POTW Director Messages 3,851 Reaction score 115 Thread starter Apr 18, 2016 #1 View attachment 5514 Attachments mhb challenge.JPG 43.5 KB · Views: 136
MarkFL Gold Member MHB Messages 13,284 Reaction score 12 Apr 18, 2016 #2 My solution: Spoiler 1.) Pair up the numbers 10-15 with the numbers 1-6 so that you have 6 pairs whose sum is 16. 2.) Form 6 pairs whose sum is 43 from the numbers 16-27, and distribute them in one of $6!=720$ ways to each of the outer hexagons. 3.) Each hexagon now has a sum of $X=75$. Below is one such way to arrange the numbers: View attachment 5515 Attachments hex_problem_belle.png 10.5 KB · Views: 128
My solution: Spoiler 1.) Pair up the numbers 10-15 with the numbers 1-6 so that you have 6 pairs whose sum is 16. 2.) Form 6 pairs whose sum is 43 from the numbers 16-27, and distribute them in one of $6!=720$ ways to each of the outer hexagons. 3.) Each hexagon now has a sum of $X=75$. Below is one such way to arrange the numbers: View attachment 5515
anemone Gold Member MHB POTW Director Messages 3,851 Reaction score 115 Apr 18, 2016 #3 Wow MarkFL! That was fast! Bravo, you got it correct!(Cool)