good one:probability

prophet sir .. have a try at this one :)

Each of the boys A and B tells the teacher a positive integer but neither of them knows the other`s number.The teacher writes 2 distince positive integers on the blackboard and announces that one of them is the sum of the numbers they told him.Then he asks `A` ,"can u guess the sum of the two numbers?"

if the answer is no the teacher asks `B` the same question and so on..

suppose the boys are ntelligent and truthful prove that one of their answers eventually will be `yes`

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