PROBLEM # 1

How many minutes represent ten percent of one full week?

FOR GROWNUPS

PROBLEM # 2
Let a # b be defined as the sum of all integers strictly between x and y, where x < y. Find the value of x when:
(80 # 110) + (x # (-81)) = -29.

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SOLUTIONS TO PROBLEMS ON 09/23/04

FOR CHILDREN

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?

SOLUTION
8 years.

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.

SOLUTION
A(2,-1)
B(12,7)
C(8,11)

Congratulations to Ryan Bhattacharyya, Chandran Elumalai, Kirti Khandelwal, Nidhi Krishnan, Pushp Kumar, Anupa M., Rishendra Naidoo, Rajiv Ramaratnam and Bharath Vnekataraman, who were winners of the last set of puzzles. Here is one puzzle for kids and one for adults.

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