Weighing 9 Marbles

Nine marbles you have 9 marbles.

Weighing 9 marbles.

You must determine which of the 9 marbles is the heavier one using the balance only 2 times. These differ from puzzles that assign weights to items in that only the relative mass of these items is relevant. Let s name them for easy understanding. As each weighing has 3 possible outcomes two of them lead to only 3 2 9 possible outcomes.

You can put things in the little buckets and the scale will tip to the heavier side. One of them weig. A real weight balance or scale looks slightly like the apparatus i drew above. Weigh 9 vs 10 if balanced then 11 is the odd light ball else the lighter of 9 or 10 is the odd light ball.

You have to put all the. The optimal solution for 9 balls puzzle is three weighing s solutions are as follows three weighing s divide the 9 balls into three sets each containing 3 balls each. They all weigh the same except one. A balance puzzle or weighing puzzle is a logic puzzle about balancing items often coins to determine which holds a different value by using balance scales a limited number of times.

You have a balance scale. 1 weighs 1 1 ounce. So when comparing two groups of marbles there can be two outcomes 1. You can perform up to a maximum of three weighings to find out which marble has the different weight and if it is heavier or lighter than the others.

Now we already know that one of the marbles is heavier than the rest. Therefore 2n must be less than 9 which means than n must be 4 or less. You have 12 marbles. In any case on to the riddle.

With 13 marbles this would imply that 9 marbles or more are involved in the first weighing. If 5 6 7 8 1 2 3 4 then either 5 6 7 8 contains a heavy ball or 1 2 3 4 contains a light ball so weigh 1 2 5 vs 3 6 12 with 3 possible outcomes. You don t know if that one is heavier or lighter. Yeah i probably shouldn t have even bothered with the picture.

2 8 of them are exactly the same. If 1 2 5 vs 3 6 12 balances then either 4 is the odd light ball or 7 or 8 is the. 1 you have 9 marbles as seen. You have access to a balance scale containing 2 trays you may use the balance 2 times.

The 9 marbles are all uniform in size appearance and shape.