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 As low as possible (Posted on 2013-04-12)
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 No Rating

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 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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