perplexus.info :: Logic : Age Ascertainment V

Age Ascertainment V (Posted on 2014-06-23)

A common friend asks Saul and Maisy their respective ages.
They say:

Saul: I am certainly not over 40.
Maisy: I am 38.
Saul: Maisy is at least 39.
Maisy: Saul is at least 5 years older than me.

All the statements by Saul and Maisy are false. How old are they in reality?

No Solution Yet Submitted by K Sengupta

Rating: 2.3333 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Decimal Ages

| Comment 2 of 3 |

If decimal ages are allowed (with two digits of precision),

Maisy is under 39, but she is not 38.

Saul is over 40, but at most 4.99 years older than Maisie.

Then the oldest Maisy could be is 38.99, which would make Saul between 40.01 and 43.98.

The youngest Maisy could be is 35.02, and this is only if Saul is 40.01.

Posted by Steve Herman on 2014-06-23 10:16:12

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