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Cmxcix + dclxvi = mdclxv

Improved answer in detail:-

999 in Roman numerals: CM+XC+IX = IM

666 in Roman numerals: DC+LX+VI = DCLXVI

999+666 = IM+DCLXVI = MDCLXV

Note that the Romans would have probably total up CM+XC+IX in the following manner:-

CM+XC = XM

XM+IX = IMM

And that they would have probably total up DC+LX+VI in the following manner:-

DC+LX = DCLX

DCLX+VI = DCLXVI

Therefore it follows that:- IM+DCLXVI = MDCLXV (1665)

Roman numerals:- M+1000, D=500, C=100, L=50, X=10, V=5 and I=1

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