The dynamics of variations in the size and composition of a droplet in a mixture of two vapors and a noncondensable carrier gas has been studied at an arbitrary initial droplet size and two limiting initial concentrations of the solution in the droplet corresponding to a pure first or pure second component. The conditions for nonmonotonic variations in the droplet radius with time have been analyzed. The physical situation has been investigated for the course of binary condensation, in which, at an initial stage, before the droplet begins to grow and the stationary concentration of the solution in it is established, the droplet size markedly decreases. The opposite situation is also considered, in which the droplet grows at the initial stage and then passes to the regime of monotonic evaporation.