Problem #1
A chauffeur always arrives at the train station at exactly five o'clock to pick up his boss and drive her home. One day his boss arrives an hour early, starts walking home, and is picked up by the chauffeur on the way out to the train station. They arrive at home twenty minutes earlier than usual. How long did she walk before she met her chauffeur?
Problem #2
Write a ten-digit number so that the first digit tells how many zeros there are in the number, the second how many ones, the third how many twos, and so forth.
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Solutions from 10/23/2014
Problem #1
Can you find five consecutive whole number that are all positive and such that the sum of the squares of the two largest numbers is equal to the sum of the squares of the three smallest?
Problem #2
Use each digit 0 through 9 exactly once to form two five-digit numbers that when multiplied produce the largest quantity.
Congratulations to Kishore Balsara, Abhimanyu Bhargava and R.K. Sambangi, who were the winners of the last set of puzzles.
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