SOLUTION: What is he product of positive integers a and b such that a is greater than b and 1/a+1/b=1/ab=1?

Question 252970: What is he product of positive integers a and b such that a is greater than b and 1/a+1/b=1/ab=1?
Found 2 solutions by jim_thompson5910, richwmiller:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Well if 'a' and 'b' are both integers, then ab ('a' times 'b') is also an integer because the product of two integers is always an integer. Because , this means that if we multiply both sides by ab. Since 1 is the only factor of 1, this tells us that 1=1*1 and that a=1 and b=1.

So if 'a' and 'b' are both positive integers and , then , , and

So either there's a typo somewhere or you copied the problem incorrectly. Please double check the problem.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
a>b
1/a+1/b=1/ab=1?
if 1/ab=1 then ab=1

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