Brain Teasers
Gamble & Proctor
Two couples, Mr. and Mrs. Gamble and Mr. and Mrs. Proctor, decide to have a friendly game of golf together (The Proctors vs the Gambles). The result was that both teams scored a total of 187 points. Determine from the statements below, each player's first and last name, and individual score.
1. Justin's score was not the lowest, but was lower than the average score.
2. Cathy's score was three strokes higher than Sue's.
3. There was only a one stroke difference between the scores of Mr. and Mrs. Gamble.
4. The average score of the men (Justin and Phil) was two strokes higher than of the two women.
1. Justin's score was not the lowest, but was lower than the average score.
2. Cathy's score was three strokes higher than Sue's.
3. There was only a one stroke difference between the scores of Mr. and Mrs. Gamble.
4. The average score of the men (Justin and Phil) was two strokes higher than of the two women.
Hint
187/2 = average = 93.5Answer
Sue Proctor scored 91Justin Gamble scored 93
Phil Proctor scored 96
Cathy Gamble scored 94
From 3 it can be determined that the Gambles scored 93 and 94. From 4 the average score of the two men was 94.5 and of the women was 92.5.
From 2 Cathy must have had 94 and Sue 91.
From 1 the last names can be determined.
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Comments
Exactly how can statement #1 show the last names? The fact that the average score was 93.5, does not help me note that the spouses who were 1 stroke apart were just either side of the average. Can you help here?
Fishmed: Clue 1 helps avoid sexism. Women have the potential to do better than men in anything (including golf).
Fishmed: Clue 1 helps avoid sexism. Women have the potential to do better than men in anything (including golf).
I understand that, but my questions still stand. I do not see how most of the answers are derived from the clues given.
You can approach the solution a number of ways - the simplest is trial and error... since it is obvious that the gambles scored 93 and 94, then there are only 4 cases to test: Where Mrs. Gamble got either 94 or 93 and then if Mrs. Proctor was higher or lower by 3. Only one combination can work for all clues to fit.
I must be dense, cuz other than trial and error, I just don't get it, but thanks anyway.
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