I LOVE THIS PUZZLE
so,
the solution is
take 10 coins off to the side
flip those 10 over
done
sounds too simple?
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this can be solved with algebra for ANY number of coins
lets say we have 50 coins, all tails
we flip h coins head
if h=x+y
if we seperate h coins off, we get x heads, and y tails
and in the other pile, we have y heads and the rest of the tails
so now, if we flip all the coins, we get y heads in the pile and x tails
solution:
seperate 10 coins and flip all 10 of them over