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<!DOCTYPE html>
<html>
<head>
<title> Problem 3 - SmartLAB Recruitment Drive </title>
</head>
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<p>The Gray Man wants to test The Hardy Boys.</p>
<p>He says to them, "I've selected 2 positive integers, both bigger than one." He then proceeds to reveal their total and product to Frank and Joe respectively, and asks, "Now, can you surmise the numbers that I've selected?".
<br>The Hardy Boys accept this challenge.
<br>Frank says, "I don't know Mr. Gray's numbers."
<br>Joe responds, "I don't know them either."
<br>Frank exclaims, "Hey! Now I know."
<br>Joe cries out, "Then I know them too."
<br>Fenton Hardy had been a silent observer of this scene. He goes to the brothers and declares, "I know Mr. Gray's numbers as well!"
</p>
<p>What are The Gray Man's numbers?</p>
<hr>
<p> This question carries 10 marks </p><br>
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