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
1. You err, as I did in earlier stages.
The two numbers are just that pair mentioned above, as it's unique in the pertinent regard: (98999, 99000). If you're 27 or 35 you said that neither sod was your age***, narrowing the possibilities down to this pair; if you're 18 or 44, you said, yes, one is the matching age, likewise narrowing it down. "....
***If I answer "no" that means that my age is not in (27,35,18,44),
<br> rending the puzzle unsolvable </br>,
only a positive answer and " his knowledge of my correct age" leads to a resolution of the tickets' numbers.
2. Your printout does not include the outstanding pair, but prints only the 27-35 partitions. Did I miss something?
Edited on February 10, 2010, 6:42 pm