Math is Fun

Math is Fun Home PageHOME

A-Z Listing


Top-rated teacher Web sites rated by teacher usage
Edunet site of the week January 2001
Maths Is Fun is ICRA Registered
Copyright © 2006
MathsIsFun.com

Weighing 9 Balls - Solution

Puzzles -> Measuring Puzzles

Weighing 9 BallsThe Puzzle: You have 9 balls, equally big, equally heavy - except for one, which is a little heavier.

How would you identify the heavier ball if you could use a pair of balance scales only twice?


.
.
.
.
(Scroll down if you really want
to see the Solution ...)

.
.
.
.
.
.

The Solution . . .

Divide the 9 balls into 3 groups of 3. Compare the weight of two of those groups.

The heavier group should then be obvious, it will either tip the scales, or, if the scales stay balanced, then it is the group you didn't include.

Now, choose 2 balls from this group and compare their weights, and using the same logic as before, the heavier ball will be obvious.


Discuss this puzzle at our Forum