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For The Mathematically Inclined


Anil Saigal 01/17/2007
FOR CHILDREN
PROBLEM # 1
What is the point of intersection of two straight lines represented by x+2y=4 and x+3y=5?
FOR GROWNUPS PROBLEM # 2 The
vertices of a 345 right triangle are the centers of three mutually
externally tangent circles. What is the sum of areas of these circles. 
Please send your solutions to anil@lokvani.com.
Use Problem Solutions M012507
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Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com.
If you need clarification on any problem, please contact anil@lokvani.com.
 SOLUTIONS TO PROBLEMS ON 01/11/07
FOR CHILDREN
PROBLEM # 1 A
student buys 13 pencils and 3 erasers for $1.00. A pencil costs more
than an eraser, and both items cost a whole number of cents. What is
the total cost, in cents, of one pencil and one eraser. SOLUTION 10 cents. FOR GROWNUPS
PROBLEM # 2 Circles
with centers (2,4) and (14,9) have radii of 4 and 9, respectively. The
equation of a common tangent to the circles can be written n the form
of y=mx+b with m>0. What is b? SOLUTION 7.66. Congratulations to Sandeep
Bansal, Janani Baskaran, Somnath Chattopadhyay, Nagaraj Katti, Henal
Motiwala, Payal Malrani, Rekha R., Malhar Teli and Niharika Yerneni, who were winners of the last set of puzzles.

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