### Brain Teasers

# Untrue Ages

Boris Downhillski and Mad Ade have a conversation.

Boris says: "I am certainly not over 40."

Mad Ade says: "I am 38 and you are at least 5 years older than me."

Now Boris says: "You are at least 39."

All the statements by the two are false. How old are they really?

Boris says: "I am certainly not over 40."

Mad Ade says: "I am 38 and you are at least 5 years older than me."

Now Boris says: "You are at least 39."

All the statements by the two are false. How old are they really?

### Answer

Boris is 41 and Mad Ade is 37.Seeing as they are both lying then the real conversation should really run like this:

Boris says: "I am certainly over 40."

Mad Ade says: "I am not 38 and you are at most 4 years older than me."

Now Boris says: "You are at most 38."

From first statement it is clear that Boris is over 40. Also, from next 2 statements it is clear that Mad Ade is less than 38. Hence the possibilities are :

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

Mad Ade = 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 than 4.

Hence the answer - Boris is 41 and Mad Ade is 37.

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