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📅 May 15, 2026 👤 scraface

May 15, 2026

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To get a5 + a6 = 32, need values >15 in position.
Only way is if the added value pushes the middle up, but 18 is large.
Perhaps original has values above 16.
The a5 in a 9-list needs to be at least 16 to have average 16 with a6.
Since sum a5+a6=32, minimum a5 is 16 (if a6=16).
So if a5=16, a6=16, then both are 16.
Possible: 14,14,15,16,15,16,16,16 — too messy.
But if original has a value >16, say 20, but median still 15.
But the problem likely assumes real numbers or allows generality.
Given the complexity and olympiad style, likely the intended answer is...

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