# The 12 Balls and Balance Scale Puzzle

You have 12 balls and a balance scale. 11 balls weigh the same, but one is heavier than the rest. You can use the scale only three times. How can you find the heavier ball?

This puzzle requires a strategic approach and logical reasoning to solve.

## The 12 Balls and Balance Scale Puzzle Solution

To find the heavier ball in just three weighings, you can use the following strategy:

1. First, divide the 12 balls into three groups of four balls each, and place one group on each side of the balance scale.
• If the scale tips to one side, the heavier ball is in that group of four.
• Otherwise, the heavier ball is in the group of four that was not weighed.
1. Take the group of four balls that includes the heavier ball and divide it into two groups of two balls each. Weigh these two groups against each other on the balance scale.
• If the scale tips to one side, the heavier ball is in that group of two.
• Otherwise, the heavier ball is one of the two balls that were not weighed.
1. Finally, take the group of two balls that includes the heavier ball and weigh them against each other on the balance scale.
• If one of the balls weighs more, that is the heavier ball.
• Otherwise, the heavier ball is the one that was not weighed.

By following this strategy, you can find the heavier ball in just three weighings.