BROTHERS AND SISTERS
A LOGIC PUZZLE

"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.




ANSWER:

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.

Puzzle by Paul R. McClenon in GAMES magazine OCTOBER 2005