# Heavier ball Puzzle

## Heavier Ball Puzzle

You have 8 balls all of the same size. 7 of them weigh the same, and one of them weighs slightly more. How can you find the ball that is heavier by using a balance and only two weighings? Solution:

Divide the balls into the following groups: (1,2,3),(4,5,6),(7,8)

Step 1.
Weigh (1,2,3) against (4,5,6)

Two possible outcomes:
The two groups are equally heavy. (Case A)
One of these groups is heavier than the other. (Case B)

Case A
Weigh 7 against 8.  Now you have identified the heavier ball in 2 weighing.

Case B

Take the heavier group (assume it to be (1,2,3)), take any two balls and weigh them against each other. Either one of these is heavier else the third ball is. ## Detailed Analysis Divide the balls into the following groups: (1,2,3),(4,5,6),(7,8) Weigh Group A (1,2,3) against Group B(4,5,6). Now, there are two possibilities that maybe the both the group weigh equal or both do weigh equal.

Case A: When both the group A & B weigh equal. If Case A happened then measure between ball 7 against 8, and you will find the result that which ball is heavier. Now, in Case B, one of the group among A & B weigh more. Than, lets suppose Group A (1, 2, 3) is weigh more. Now, weigh the balls of Group A against each other one after other, and we will find heavier ball in 2 chance.