About Us Contact Us Help


Archives

Contribute

 

For The Mathematically Inclined

Anil Saigal
06/22/2006

FOR CHILDREN

PROBLEM # 1
Glenn and Jason each have a collection of cricket balls. Glenn said that if Jason would give him 2 of his balls they would have an equal number; but, if Glenn would give Jason 2 of his balls, Jason would have 2 times as many balls as Glenn. How many balls does Jason have?

FOR GROWNUPS

PROBLEM # 2
A kite flies at a constant altitude of 400 feet. The kite is being blown horizontally at a rate of 10 feet/second away from the person holding the string at ground level. At what rate is the string being payed out when  500 feet of string is already out?

-------------------------------------------------------------------------------------------------------------

Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-062906 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.

-------------------------------------------------------------------------------------------------------------

SOLUTIONS TO PROBLEMS ON 06/15/06

FOR CHILDREN

PROBLEM # 1
I have a miniature Pyramid of Egypt. It is 5  inches in height. I was invited to display it at an exhibition. I felt it was too small and decided to build a scaled-up model of the Pyramid out of material whose density is (1/ 10) times the density of the material used for the miniature. I did a quick calculation to check whether the model would be big enough. If the mass (or weight) of the miniature and the scaled-up model are to be the same, how many inches in height will be the scaled-up Pyramid? Give your answer to two places of decimal.

SOLUTION
10.77.

FOR GROWNUPS

PROBLEM # 2
The six terms 2x-3, t, 7-12y, x+3, 3y-4, x+12 are in arithmetic sequence. Find the ordered triple (x,y,t).

SOLUTION
(-15/2, 4/3, -27/2). 

Congratulations to Sandeep Bansal, Anindya Basu, Aseem Chandawarkar, Sitaram Chandawarkar, Dhruv Maheswari, Sarthak Pani, Varinder Singh and Vishnu Venkatesh, who were winners of the last set of puzzles.



Bookmark and Share |

You may also access this article through our web-site http://www.lokvani.com/




Home | About Us | Contact Us | Copyrights Help