Our well-known census taker, after successfully computing the age of the three daughters, moves on to the next door. This time another woman comes out and says, "I have three sons! Each son's age is the sum of the last digits of the other two sons' age." "Do you have any other clue for me?", the census taker demands. "Yes, my elder son's birthday is tomorrow. If you had come any later than today, I couldn't have given you even the first clue." 

What is the sum of the ages of the three sons?