MHB Algebra Challenge: Test Your Skills

[anemone]

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[MarkFL]

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:

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[anemone]

Wow MarkFL! That was fast! Bravo, you got it correct!(Cool)