GIVEN POSITIVE INTEGERS X AND Y , BOTH GREATER THAN 1, BU...
10. Given positive integers
x and y , both greater than 1, but not necessarily different.
The product xy is written on Albert’s hat, and the sum x
+
y
is written on Bill’s hat.
They can not see the numbers on their own hat. Then they take turns to make the
statement as follows:
Bill: “ I don’t know the number on my hat.”
Albert: “ I don’t know the number on my hat.”
Bill: “I don’t know the number on my hat.”
Albert: “Now, I know the number on my hat.”
Given both of them are smart guys and won’t lie, determine the numbers written on
their hats.
Answer: Albert’s number =__________, Bill’s number =____________.