SOLUTION: A 2 digit number with 2 different digits has a special property: " when the sum of its digits is added to the product of its digits,the result is the number itself." what is the sm

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Question 632842: A 2 digit number with 2 different digits has a special property: " when the sum of its digits is added to the product of its digits,the result is the number itself." what is the smallest number with this property ?
Answer by Edwin McCravy(20065)   (Show Source): You can put this solution on YOUR website!

when the sum of its digits is added to the product of
its digits,the result is the number itself."
tu + (t+u) = 10t + u

tu + t + u = 10t + u

    tu + t = 10t
        
        tu = 9t

         u = 9

So the ones digit is 9.  The smallest
two-digit number with ones digit 9 is 19

Answer: 19

Edwin
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