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For The Mathematically Inclined

Anil Saigal
11/12/2007

FOR CHILDREN

PROBLEM # 1
My age three years hence multiplied by 3, and from that subtract three times my age three years ago will give you my exact age. What is my age?

FOR GROWNUPS 

PROBLEM # 2

Let x be a real number. Which is greater sin(cos(x)) or cos(sin(x))?

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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-111507 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani.

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.

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Problem Solutions 11/01/07

PROBLEM # 1
On my walk to school, I travelled at three different speeds: for the first mile, I traveled at 6 mph; for the second mile I traveled at 2 mph; and for the final mile, I traveled at 3 mph. What was my average speed for the entire trip.

Solution:
3 mph.
 

FOR GROWNUPS 

PROBLEM # 2
Given cos(x) + cos(y) + cos(z) = sin(x) + sin)y) + sin(z), find the numerical value of cos(x-y) + cos(y-z) + cos(z-x).

Solution: 


Congratulations to
Sitaram Chandawarkar and Anuj Sisodiya, who were winners of the last set of puzzles.





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