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.


10. A surveyor is directed to a house where he was seen by a woman :
¿ Number of children ? Three she says.
Ages? The product of the ages is 36 and the sum is equal to the number of the house, she responds .
Pollster but after a while goes back and tells the woman that gave the data are not sufficient ; the woman thinks and says is right , most studies piano.
This is enough for the interviewer know the ages of the children . Which are?

 


 

Solution


The interviewer asks ages and obtain a response that the product of these is 36 and the sum of the number of the house, look at the number of this , we do not know but yes.
Pollster breaks 36 in their factor and performs the following combinations of ages. (All possible )

 

1-1-36

1-2-18

1-3-12

1-4-9

1-6-6

2-2-9

2-3-6

3-3-4

 

It only remains to know which of these combinations of ages add the number of the house, then you realize that you are missing some information , it can only be because there are two combinations that add up to equal:

 

1+6+6=13

2+2+9=13

 

To come back and know that most studies piano, follows that there is only one more , not two , so ages are 2, 2 and 9 years.