Problem #1
A rich merchant had collected many gold coins. He did not want anybody to know about them. One day, his wife asked, "How many gold coins do we have?"After pausing a moment, he replied, "Well! If I divide the coins into two unequal numbers, then 42 times the difference between the two numbers equals the difference between the squares of the two numbers."The wife looked puzzled. Can you help the merchant's wife by finding out how many gold coins they have?
Problem #2
A large water tank has two inlet pipes (a large one and a small one) and one outlet pipe. It takes 1 hours to fill the tank with the large inlet pipe. On the other hand, it takes 6 hours to fill the tank with the small inlet pipe. The outlet pipe allows the full tank to be emptied in 7 hours.
What fraction of the tank (initially empty) will be filled in 0.73 hours if all three pipes are in operation?
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Solutions from 03/12/2015
Problem #1
My daughter is twice as old as my son and half as old as I am. In twenty-two years my son will be half my age. How old is my daughter?
Solution:
22 years old today.
Problem #2
I am in the habit of walking up the subway escalator while it is running. I climb 20 steps at my normal pace and it takes me 60 seconds to reach the top, whereas my wife climbs only 16 steps and it takes her 72 seconds to reach the top. If the escalator broke down tomorrow, how many steps would I have to climb?
Solution:
40 steps.
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