For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
07/30/2007

FOR CHILDREN

PROBLEM # 1
Three ducks and two ducklings weigh 32 kg. Four ducks and three ducklings weigh 44kg. All ducks weigh the same and all ducklings weigh the same. What is the weight of two ducks and one duckling?

FOR GROWNUPS

PROBLEM # 2

Two points are randomly picked on a sphere of radius 1. What is the expected value(mean) of the distance between all such randomly picked points on the sphere.

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SOLUTIONS TO PROBLEMS ON 07/26/07

FOR CHILDREN
PROBLEM # 1

With all the numbers 0 up to 9 (using each number exactly once), how can you make two fractions that add up to exactly 2.

SOLUTION
One of the many ways: 4/2+1356789*0=2+0=2

FOR GROWNUPS
PROBLEM # 2

What the the perpendicular distance from the point(3,1) to the line y=x?

SOLUTION
Sqrt(2).

Congratulations to Niket Gowravaram, Kavitha Muralidharan and Madhavi Muralidharan, who were winners of the last set of puzzles.

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