The Ornstein-Zernike integral equation was solved with the Percus-Yevick approximation for systems containing hard spheres having two adhesive thin layers. One of them is on the surface as usual to account for the ordinary attraction between molecules. The other is located inside the hard core to mimic the collapse of structures under high pressures. Baxter's factorization method was used to obtain the equation of state analytically. Besides the ordinary gas-liquid transition, liquid-liquid transition was also found in the region where the reduced densities are higher than one. The latter repeats qualitatively the recently discovered phenomena of high-density liquid and low-density liquid transition of pure water.