A Riddle

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In the land of Liars and Truthtellers there were two
families a little different from the general population.
The Smith's, who told the truth only in the morning
and lie in the afternoon, and the Jones' who speak
the truth only in the afternoon and lie in the morning.

You meet one person from each of these families on
the street but you are not sure which is which. They
make the following statements:

A: It is afternoon
B: My last name is Jones.

Who is who, and is it morning or afternoon?

(Answer below)



Answer:

A is a Jones, B is a Smith and it is afternoon.
If statement A were false, it would be morning
and it would have to be a Jones speaking but
that would also make statement B false and
both statements could not be false because
one lies in the afternoon and one tells the truth.