For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
11/21/2012

Problem 1:

When I add 6 times my age 6 years from now to 7 times my age 7 years from now, I get 14 times my current age. How old will I be 2 years from now?

Problem 2:

A large water tank has two inlet pipes (a large one and a small one) and one outlet pipe. It takes 2 hours to fill the tank with the large inlet pipe. On the other hand, it takes 4 hours to fill the tank with the small inlet pipe. The outlet pipe allows the full tank to be emptied in 6 hours.What fraction of the tank (initially empty) will be filled in 1.29 hours if all three pipes are in operation?

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