Three substance absorbe light in the un/visible region. In determining the concentration of these three substances which are present in the same solution using spectrophotometry (without prior separation) what condition must apply?

You want each solution to absorb at a specific wavelength that the others two substances have no absorbance. However, IF you have the three spectra and can make standard solution, it IS possible, with a good bit of work, to set up simultaneous equations (or use successive approximations) to solve for one if the spectra do overlap.