For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
02/27/2013

PROBLEM #1

John spent one-fourth of his life as a boy, one-eighth as a youth, and one-half as an active man. If John spent 10 years as an old man, then how many years did he spend as an active man?

PROBLEM #2

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 5 years from now?

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Problems from 02/14/13

PROBLEM #1

An ant and a blind spider are on opposite corners of a cube. The ant is stationary and the spider moves at random from one corner to another along the edges only. What is the expected number of turns before the spider reaches the ant?

SOLUTION 1

PROBLEM #2

What is the mean distance between two random points in a unit square?

SOLUTION 2

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