Something To Think About: Two Mathematical Thought Problems From Russia

The Russians have a long tradition of mathematical thought problems which occupies a distinguished part of their elementary mathematics classes.  Here are two samples by J. I. Pearlman:

  1.  Who Counted More?  Two people counted the number of people that passed them on the sidewalk for a period of one hour.  One stood at the gates of a house, the other walked up and down the sidewalk.  Who counted more?
  2.   The Grandfather and his Grandson.  What I am going to tell you took place in 1932.  My age then was the same as the last two digits of the year I was born.  When I told my grandfather about this correlation, he surprised me by declaring that the same correlation was true for his age as well.  How old was each of us?