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As low as possible (Posted on 2013-04-12) Difficulty: 2 of 5
What is the lowest value of a product of two positive numbers a and b, given that a+b=a*b?

No Solution Yet Submitted by Ady TZIDON    
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Some Thoughts Analytical solution (spoiler) | Comment 2 of 6 |
(1)  a + b = ab

(2) solving for b, we get b = a/(a-1)

     by inspection, b can only be a positive integer if a =2
      and 
     by substitution, b = 2

(3) So the lowest value of ab 
             = highest value of ab 
             = only value of ab 
             = 4



Edited on April 12, 2013, 1:20 pm
  Posted by Steve Herman on 2013-04-12 13:13:30

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