Identify Lighter Balls Weighing on Christmas Tree

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SUMMARY

The discussion focuses on a problem involving two blue, two red, and two white balls on a Christmas tree, where each color has one heavier ball. Using a balance scale twice, participants can identify the lighter balls. The first weighing involves placing a white and a red ball on one scale and a blue and a white ball on the other. Depending on the outcome, further weighings determine the identity of the lighter and heavier balls among the colored and white balls.

PREREQUISITES
  • Understanding of balance scales and their operation
  • Basic principles of weight comparison
  • Logical reasoning skills for problem-solving
  • Familiarity with the concept of equal weight distribution
NEXT STEPS
  • Study the principles of weight measurement using balance scales
  • Explore logical reasoning puzzles and their solutions
  • Learn about combinatorial problem-solving techniques
  • Investigate similar weight comparison problems in mathematics
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This discussion is beneficial for puzzle enthusiasts, educators teaching logical reasoning, and anyone interested in mathematical problem-solving techniques.

dipinsingh
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Weighing...
On a Christmas tree there were two blue, two red and two white balls. All seemed the same, however in each colour pair one ball was heavier. All three lighter balls were the same weight, just like all three heavier balls.
Using a pair of scales twice, identify the lighter balls.
 
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Put in one scale a white and a red ball and in the other scale a blue and the other white ball.
If the scales are even, this means that one of the colored balls is heavy and the other is light. Weight one against the other to determine which is which. The light white ball is the one that was in the same scale with the heavy colored ball.
If the scales are not even, you know already that the heavy white ball is the one in the down scale. The colored balls may be both heavy, both light or the one in the down scale is heavy and the other is light.
Put the two colored balls in one scale and the two white balls in the other. If the colored balls go down is because they are both heavy, if they go up, both are light, if the scales are even, the one that was down in the first weighting is heavy and the other is light.
 
CEL said:
Put in one scale a white and a red ball and in the other scale a blue and the other white ball.
If the scales are even, this means that one of the colored balls is heavy and the other is light. Weight one against the other to determine which is which. The light white ball is the one that was in the same scale with the heavy colored ball.
If the scales are not even, you know already that the heavy white ball is the one in the down scale. The colored balls may be both heavy, both light or the one in the down scale is heavy and the other is light.
Put the two colored balls in one scale and the two white balls in the other. If the colored balls go down is because they are both heavy, if they go up, both are light, if the scales are even, the one that was down in the first weighting is heavy and the other is light.

U R Right.
 

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