Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

Two perfect logicians, S and P, are told that natural numbers x and y have been chosen. 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?


Two perfect logicians, S and P, are told that natural numbers x and y have been chosen. 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?

Grade:

1 Answers

Amitabh Shrivastava
32 Points
10 years ago

The above puzzle circulated over various mailing lists 32 years ago.

The answer is X=2 Y=3 the logical approach is a bit tricky and will consume a lot of space if you want it feel free to contact although I insist you try it yourself. An imp point to understand is that Poduct cant be prime.

Plz approve this answer

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free