1. Registered User
Join Date
Oct 2003
Location
india, delhi
Posts
18

Two logicians:

Two perfect logicians, S and P, are told that integers
x and y have been chosen such that 1 < x < y and x+y <
100. S is given the value x+y and P is given the
value xy. They then have the following conversation.

P: I cannot determine the two numbers.
S: I knew that.
P: Now I can determine them.
S: So can I.

Given that the above statements are true, what are the
two numbers?

Best Regards
Sudeesh

2. Registered User
Join Date
Oct 2003
Posts
1

## Re: Two logicians: Puzzle

Originally posted by sudeesh
Two logicians:

Two perfect logicians, S and P, are told that integers
x and y have been chosen such that 1 < x < y and x+y <
100. S is given the value x+y and P is given the
value xy. They then have the following conversation.

P: I cannot determine the two numbers.
S: I knew that.
P: Now I can determine them.
S: So can I.

Given that the above statements are true, what are the
two numbers?

Best Regards
Sudeesh