Mathematical puzzles

Puzzles, situation puzzles and recreational mathematics.

situation puzzles and recreational mathematics. Neuron juice
 
 
 

Neuron juice.

The important thing is not to stop questioning. (Albert Einstein.)

  

 

riddle.

 

8.- The problem is basically the same as the previous 12 coins, just do not know if the false coin weighs more or less, and still have only three weighed on a scale.

 

The question is what is the counterfeit money and if you weigh more or less than others

 

Solution

 

1 < 1-2-3-4 >°< 5-6-7-8 >
  A+ Igual. B+
2 < 1-2-5-6 >°< 7-9-10-11 > < 9-10 >°< 11-1 > < 1-2-5-6 >°< 7-9-10-11 >
  A+ Igual. B+ A+ Igual. B+ A+ Igual. B+
3 < 1 >°< 2 > < 3 >°< 4 > < 5 >°< 6 > < 9 >°< 10 > < 12 >°< 1 > < 9 >°< 10 > < 5 >°< 6 > < 3 >°< 4 > < 1 >°< 2 >
  A+ -> 1+
= ---> 7-
B+ -> 2+
A+ -> 3+
= ---> 8-
B+ -> 4+
A+ -> 6-
= --->
B+ -> 5-
A+ -> 9+
= ---> 11-
B+ -> 10+
A+ -> 12+
= --->
B+ -> 12-
A+ -> 10-
= ---> 11+
B+ -> 9-
A+ -> 5+
= --->
B+ -> 6+
A+ -> 4-
= ---> 8+
B+ -> 3-
A+ -> 2-
= ---> 7+
B+ -> 1-
 
= balanced scale.
% unbalanced balance.
A+ heavier left pan.
B+ heavier right dish.
As you can see the second and third weighing
are the same in the event that the balance
lean to one side or another , is separated
to clarify the explanation.