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