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For The Mathematically Inclined

Anil Saigal
07/19/2007

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.

FOR GROWNUPS 

PROBLEM # 2
What the the perpendicular distance from the point(3,1) to the line y=x?


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SOLUTIONS TO PROBLEMS ON 07/12/07

FOR CHILDREN AND GROWNUPS

PROBLEM # 1
   CC
   CC
   CC
   CC
+ CC
 XYZ

X < Y and Y > Z

Also, 250 < XYZ < 400.

What is one possible value of XYZ?

SOLUTION
55.

PROBLEM # 2
A circle with its center in the first quadrant is tangent to the x- and y-axes   as well as to the line y = x/2 + 2. Determine the center of the circle.

SOLUTION
A tough one: x = y =  4 / (sqrt(5)+1).

Congratulations to Samita Mohanasundaram and Udbhav Chitta, who were winners of the last set of puzzles.



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