($$2015$$ National Mathematical Olympiad of Singapore, Special Round, Question \#$$18$$)\hspace{0pt}\hspace{0pt}  In the following equation, different letters represent different numbers.  $$5 \times \overline{ABCDEF}=6 \times \overline{EFABCD}$$  The letters $$B=2$$ and $$D=0$$ are known, so what is the four-digit number represented by $$"FACE"$$? 
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