SOLUTION: If {{{ 45/7=a+(1/c)/(1/b) }}}, where a, b, and c are positive integers, and b < c, evaluate the value of abc.

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Question 1105717: If , where a, b, and c are positive integers, and b < c, evaluate the value of abc.
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
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If , where a, b, and c are positive integers, and b < c, evaluate the value of abc.
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 = 6 +  = a +  = a + .


Since "b" and "c" are positive integers with b < c, you can conclude that  < 1.

Hence,  a = 6.


But for "b" and "c" you have INFINITELY MANY answers (b,c) = (3,7),  (6,14),  (9,21) . . . and so on . . . 


Therefore, IT IS NOT POSSIBLE to evaluate the value of abc by an UNIQUE way.


Your problem is posed INCORRECTLY.


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