Got somewhere !

Two positive integers are chosen. The sum is revealed to logician A, and the sum of squares is revealed to logician B. Both A and B are given this information and the information contained in this sentence. The conversation between A and B goes as follows: B starts
B: ` I can't tell what they are.'
A: ` I can't tell what they are.'
B: ` I can't tell what they are.'
A: ` I can't tell what they are.'
B: ` I can't tell what they are.'
A: ` I can't tell what they are.'
B: ` Now I can tell what they are.'

(a) What are the two numbers?

(b)When B first says that he cannot tell what the two numbers are, A receives a large amount of information. But when A first says that he cannot tell what the two numbers are, B already knows that A cannot tell what the two numbers are. What good does it do B to listen to A?

6 Answers

11
Devil ·

U wanna us to solve this....
this is a well-known puzzle from a website, and for ur information, the solver used computer to generate the soln, which is not of our std.

1
Aditya ·

Oh ! i dint knew dat !!

Cud u pls tell me the site?

11
Devil ·

Well, I'd have to search thew same in goiit, that's where someone once mentioned the site....

1
Aditya ·

okay :)

24
eureka123 ·

Q4 here
http://www.math.ucla.edu/~tom/

1
Aditya ·

thanks :)

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