Liars Age

Question: Sam and Mala have a conversation.  Sam says I am certainly not over 40, Mala says I am 38 and you are atleast 5 years older than me
Now Sam says you are atleast 39 ,All the statements by the two are false. How old are they really?

Answer:

Sam is 41 and Mala is 37.

Let's invert the teaser and read it like this :

* Sam says I am certainly over 40

* Mala says I am not 38 and you are atmost 4 years older than me

* Now Sam says you are atmost 38

From first statement it is clear that Sam is over 40. Also, from next 2 statements it is
clear that Mala is less then 38. Hence the possibilities are :

Sam = 41, 42, 43, 44, 45, ......


Mala = 37, 36, 35, 34, 33, ......

It also says that the difference between their age is maximum 4 years. Hence, there is only
one possible pair i.e. 41 and 37, all other combination have differences more then 4.

Hence the answer - Sam is 41 and Mala is 37.


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