Title: Measurement of Rb and Br(b->lnuX) at LEP Using Double-Tag Methods We present a combined measurement of Rb = Gamma(Z -> bb) / Gamma(Z -> hadrons}) and the semileptonic branching ratio of b quarks in Z decays, Br(b->lnuX), using double-tag methods. Two analyses are performed on one million hadronic Z decays collected in 1994 and 1995. The first analysis exploits the capabilities of the silicon microvertex detector. The tagging of b-events is based on the large impact parameter of tracks from weak b-decays with respect to the e+e- collision point. In the second analysis, a high-pt lepton tag is used to enhance the b-component in the sample and its momentum spectrum is used to constrain the model dependent uncertainties in the semileptonic b-decay. The analyses are combined in order to provide precise determinations of Rb and Br(b->lnuX): Rb = 0.2174 +- 0.0015(stat.) +- 0.0028(sys.); Br(b->lnuX) = (10.16 +- 0.13(stat.) +- 0.30(sys.))%. parallel session #PA 5,7 plenary session #Pl 6,3 ************* * paper 185 * European Physical Journal C 13/1, 47-61 (2000) *************