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Very recently the LHCb collaboration reported their observation of the first two fully open-flavor tetraquark states,the X0(2900) of JP =0+ and the X1(2900) of JP =1-.We study their possible interpretations using the method of QCD sum rules,paying special attention to an interesting feature of this experiment that the higher resonance X1 (2900) has a width significantly larger than the lower one X0(2900).Our results suggest that the X0(2900) can be interpreted as the s-wave D*-K*+ molecule state of JP =0+,and the X1(2900) can be interpreted as the p-wave (c)(s)ud compact tetraquark state of JP =1-.Mass predictions of their bottom partners are also given.