PROBLEM # 1

There are three children in a family. The oldest is 15. The average of their ages is 11. The median age is 10. How old is the youngest child?

FOR GROWNUPS

PROBLEM # 2
In triangle ABC,
the point D = (7, 3) is the midpoint of side AB
the point E = (10, 9) is the midpoint of side BC
the point F = (5, 5) is the midpoint of side AC.
Find the coordinates of points A, B, and C.

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

Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-092304 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 09/09/04

FOR CHILDREN

PROBLEM # 1

How old would you be in years if you lived 1,000,000 hours?

SOLUTION
114 years.

FOR GROWNUPS

PROBLEM # 2

One angle of a traingle has a measure of x. The sides are sin(x), cos(x) and tan (x) and the product of the sides is 1/4. Determine the cosine of the largest angle.

SOLUTION
Sides are 1/2, 1/sqrt(3), and (sqrt(3))/2.
Cosine of the largest angle is - 1/sqrt(2).

Congratulations to Shreya Dave, Bakul Desai, Nidhi Krishnan, Maharshi Mankad and Rajiv Ramaratnam, who were winners of the last set of puzzles.

|