By Madjiasra Nako and Paul-Marin Ngoupana N'DJAMENA/BANGUI (Reuters) - Central African Republic's interim leaders caved in to international pressure and resigned on Friday after failing to halt inter-religious violence, prompting street celebrations but also questions over who would step in to take charge. The resignations of President Michel Djotodia and Prime Minister Nicolas Tiangaye came at a two-day summit of the Economic Community of Central African States (CEEAC) in neighboring Chad. Talks to decide on new leadership will take place in Central African Republic, a communique said. With memories of Rwanda's 1994 genocide stirred by the unrest, France sent hundreds of troops to its former colony last month to support African peacekeeping forces.