A statistical model with decorated double bonds on each pair of the Ising spins is presented. The decorated Ising spin on one of the double bonds connects the neighboring Ising spins of the matrix lattice ferromagnetically and the other connects them antiferromagnetically. The critical concentrations for the ferromagnetic or antiferromagnetic transitions are found for several types of lattices. The specific heat has a cusp at the Curie or Néel point. Dependence of Curie and Néel temperatures on the concentration ratio of ferromagnetic and antiferromagnetic components is obtained.