Two years ago, traveling with my friend (a logic wiz) I have purchased two streetcar tickets, consecutively numbered.
I told my friend that the sum of all ten digits equals 62, which was his age.
He than asked me whether the sum of digits (s.o.d) of either of the tickets equals my age (which he knew) and upon getting my answer quoted exactly both 5-digit numbers.

What were the numbers?

Am I over 50 today?

(In reply to

computer solution by Charlie)

If you're 27 or 35 you said that neither sod was your age, narrowing the possibilities down to this pair"

this sentence should be erased- I **cannot** answer negatively=

I KNOW MY AGE AND SO DOES THE WIZ.