Age has to be a 2 digit number (< 38)
If the age is an even number, that means the 2nd digit is even.
Since the sums of the digits add up to 10, the 1st digit also has to be even.
The 2 pairs of even digits that add up to 10 are (6,4) and (2,8)
which give rise to 4 possible ages
64, 46, 28 and 82.
Since the age is less than 38, the only possible solution is 28.
:)