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

Question

Arun · Answer

Assuming that (a+b+c) is not equal to zero. Given that, a+b-c/c=a-b+c/b=-a+b+c/a= **sum of numerators/sum of denominators=1**(A property of ratios) Therefore, a+b=2c a+c=2b b+c=2a Therefore, (a+b)(b+c)(c+a)/abc=2c.2a.2b/abc=8

Vikas TU · Answer

Dear student Please follw the link below https://www.askiitians.com/forums/8-grade-maths/if-a-b-c-are-positive-real-numbers-such-that-a-b-c_192311.htm Good Luck

Yashraj · Answer

we have solved in one place also so go to https://www.askiitians.com/forums/8-grade-maths/if-a-b-c-are-positive-real-numbers-such-that-a-b-c_192311.htm l

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

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

3 Answers

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