We present high-resolution aperture synthesis images from the Submillimeter Array of the 225 GHz ( 1.3 mm ) continuum and ^ { 12 } CO J = 2 - 1 line emission from the disks around components of the hierarchical triple system SR 24 , located in the Ophiuchus star-forming region . The most widely separated component , SR 24 S ( with a projected semimajor axis a = 832 AU ) , has a circumstellar disk with properties typical of those around single T Tauri stars . The binary SR 24 N ( a = 32 AU ) is undetected in the continuum , but has strong , resolved CO emission which likely originates in a circumbinary disk with a central gap . The data constrain the total disk mass in the SR 24 N system to be \lesssim 10 ^ { -3 } M _ { \odot } and indicate that the depletion of CO onto dust grains is not more than 100 times larger than the mean value in the interstellar medium . The SR 24 N disk is unusual in that it is only detected in line emission . It is possible that other low mass disks around binaries and single stars may have been missed in single-dish continuum surveys .