The Brillouin light scattering technique has been exploited for investigating the elastic properties of superlattices, with x = 0.5 and a total thickness of several hundreds of nanometres. These superlattices have been grown by chemical beam epitaxy and are close to being lattice matched to the InP substrates. The frequency position in the Brillouin spectra of the Rayleigh surface wave, and of the transverse and longitudinal thresholds for two different propagation geometries, enabled us to determine the three effective elastic constants of the superlattices. A comparison between these experimental values and those expected from calculation based on the properties of InP and InGaAs single films shows that interface effects do not play any significant role in modifying the elastic properties of InGaAs/InP heterostructures.