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Problem 3: What 2 digit number (which is a integer) is the product of its digits. I have worked this problem out but looking for other solutions. Solution1:Let x be the digit in ten's place and y be the digit in unit's place. From question stem: 10x + y = 2xy Therefore, x = y/2(y-5) Since x and y are digits of a 2-digit number, x and y are positive integers. So, y must be greater than 5 and also y must be even.

Try the first even number greater than 5 => 6 If y = 6, x = 3 --> 2-digit number = 36

Solution 2 : The way i got it is : 2 digit number=> xy Now as per the stem 10x+y=2(x*y) 10x+y=2xy => y= (10x)/(2x-1) Lets do plugin x y 1 10(Not possible as no wont be 2 digit) 2 Non Integer 3 6 So 36