Pythagoras liked to organize positive even integers into groups. One way he did this was to divide them into three groups: evenly-even, oddly-even, and oddly-

odd. Evenly-even numbers could be halved, halved again and again until the

number 1 was reached; oddly-even numbers could be halved but could not be

halved again; oddly-odd numbers could be halved more than once but the number

1 could never be reached. What is the sum of the least two-digit evenly-even

positive integer and the least two-digit oddly-odd positive integer? ("Halving", in

this case, can only be carried out on even integers)