SOLUTION IF #11 IS EITHER HEAVY OR LIGHT

 

Here is the solution if the unique weight is number 11 and it is Heavy.

Weigh #1
Place 1 2 3 4 on Left and Place 5 6 7 8 on Right
Scale would be in balance so Solver knows Unique is either 9 10 11 or 12

Weigh #2
Place 1 and 9 on Left. Place 11 and 12 on Right
Left side would be POSSIBLE 9 as Light or POSSIBLE 11 or 12 as Heavy

Weigh#3
Solver would place Place 11 on Left and Place 12 on Right
<
Since Left side is Heavy, he knows that Unique is 11 Heavy
***** Now assume instead that 11 is Light

Weigh #1
Place 1 2 3 4 on Left Place 5 6 7 8 on Right
Scale would be in balance so Solver knows Unique is either 9 10 11 or 12

Weigh #2
Place 1 and 9 on Left and Place 11 and 12 on Right.
This indicates POSSIBLE 9 as Heavy or possible 11 OR 12 as Light.

Weigh#3
Place 11 on Left and Place 12 on Right.
Left side is a possible Light (see Weigh#2 conclusions)
Right side a possible Heavy ? NO-cannot be(see Weigh#2 conclusions)



Return to Start Page