What was found
THE PILOT WAS EN-ROUTE WHEN THE RT FUEL TRANSFER LIGHT ILLUM. FOLLOWED THE QRH AND SWITCHED TO THE RT AUX FUEL BOOST PUMP FROM THE MAIN AND THE LIGHT EXTINGUISHED. MINUTES LATER THE LT FUEL TRANSFER LIGHT ILLUM AND FOLLOWING THE SAME PROCEDURES AND SWITCHED BOOST PUMPS BUT THE LT TRANSFER LIGHT DID NOT EXTINGUISH. VERIFIED THE QUANTITY OF FUEL REMAINING AND THE AMOUNT THAT WAS BURNED TO ESTABLISH THERE WAS FUEL AVAILABLE. DECLARED AN EMERGENCY AND DIVERTED LANDED WITHOUT INCIDENT. MAINTENANCE CONTINUED TROUBLE SHOOTING AND REMOVED AND REPLACED BOTH RIGHT MAIN AND AUXILIARY BOOST PUMPS WITH OVERHAULED UNITS.