April 17, 2006
Problem of the Week

Brothers and Sisters
by Paul R. McClenon   in
Games Magazine (October 2005)



"Isn't it strange that no two of us are the same age?" remarked Hope, the youngest female, to Bob, who was not her brother.   "Yes," added Art, "and no pair of siblings is more than two years apart."   With these comments and the help of the additional clues below, can you match brothers (Art, Bob, Carl, and Don) to sisters (Eileen, Fran, Grace, and Hope) and find the ages of all eight?

CLUES
1. Carl is two years older than Hope's brother.

2. Don's sister and Bob are two years apart.

3. Eileen is older than Grace.

4. Don is three years older than Hope's brother.

5. Fran's brother and Don are four years apart, as are Fran and Carl.

6. Art is younger than his sister.

7. Fran is 25 years old.


Solution to the Problem:

The brother-sister pairs are:
Art, 19. and Hope, 20;
Bob, 26, and Fran, 25;
Carl, 21, and Grace, 23;
Don, 22, and Eileen, 24.



Correctly solved by:

1. Kunal Singh Kendriya Vidyalaya School
Happy Valley Shillong, India
2. Sagar Patel Brookstone School
Columbus, Georgia
3. Tristan Collins Virginia Tech
Blacksburg, Virginia
4. Britney White Brookstone School
Columbus, Georgia
5. David & Judy Dixon Bennettsville, South Carolina
6. Garrett Hix Brookstone School
Columbus, Georgia
7. Cerena Uttal John Handley High School
Winchester, Virginia
8. Larry Schwartz Norwalk, Connecticut
9. Jeff McKenzie John Handley High School
Winchester, Virginia
10. Anna Varner Brookstone School
Columbus, Georgia
11. Amanda Corsnitz John Handley High School
Winchester, Virginia
12. George Flowers Brookstone School
Columbus, Georgia
13. Emily Powell John Handley High School
Winchester, Virginia
14. Lauren Shortnacy Brookstone School
Columbus, Georgia
15. Elizabeth Carlson John Handley High School
Winchester, Virginia
16. Arin Smith University of Virginia
Charlottesville, Virginia
17. Jessie Biggs John Handley High School
Winchester, Virginia
18. Evelyne Stalzer New Jersey
19. Rion Turner Brookstone School
Columbus, Georgia
20. Patrick Culpepper Brookstone School
Columbus, Georgia
21. Walt Arrison Philadelphia, Pennsylvania
22. Melanie Trevathan Brookstone School
Columbus, Georgia
23. Mallory Mize Brookstone School
Columbus, Georgia
24. Dana Moats Ft. Eustis, Virginia
25. Kelley Kolar John Handley High School
Winchester, Virginia
26. Matt Ahrnsbrak John Handley High School
Winchester, Virginia
27. Shaan Arora Brookstone School
Columbus, Georgia
28. Carter Galbraith Brookstone School
Columbus, Georgia
29. Mary Bailey Wickham Brookstone School
Columbus, Georgia
30. Kerry Barwick ----------
31. nbh874@aol.com ----------
32. Danny Gordon Brookstone School
Columbus, Georgia
33. Magdy Essafty Alexandria, Egypt
34. Jess ----------
35. Lauren Champion Brookstone School
Columbus, Georgia
36. Kelley Thorne Brookstone School
Columbus, Georgia
37. Andrew Barnes John Handley High School
Winchester, Virginia
38. Andrew Montoya John Handley High School
Winchester, Virginia
39. Laura Minnis Harrisonburg High School
Harrisonburg, Virginia
40. Jessica Irick Mountain View High School
Mountain View, Wyoming
41. Ryan Young Brookstone School
Columbus, Georgia
42. Bobby Arthur John Handley High School
Winchester, Virginia
43. Laura Gronauer John Handley High School
Winchester, Virginia


Send any comments or questions to: David Pleacher