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If a,b,c are positive real numbers said that a+b-c/c=a-b+c/b=-a+b+c/a. find the value of (a+b)(b+c)(c+a)/abc

- kavitha
**Posts:**7**Joined:**Thu Feb 27, 2014 3:32 am

kavitha wrote:If a,b,c are positive real numbers said that a+b-c/c=a-b+c/b=-a+b+c/a. find the value of (a+b)(b+c)(c+a)/abc

If (a + b - c)/c = (a - b + c)/b = (-a + b + c)/a = k, then, for instance, (a + b - c)/c = k, so a + b - c = kc, so a + b = c(k + 1). Where might this lead one's investigation?

- nona.m.nona
**Posts:**255**Joined:**Sun Dec 14, 2008 11:07 pm

Thank you.

- kavitha
**Posts:**7**Joined:**Thu Feb 27, 2014 3:32 am

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