\[\dfrac{a}{b+2c+3d} + \dfrac{b}{c+2d+3a} + \dfrac{c}{d+2a+3b} + \dfrac{d}{a+2b+3c} > \dfrac{2}{3}\]

If a,b,c,d are distinct positive reals, prove the above inequality.

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## Comments

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TopNewestHave u given the inmo mock test of fiitjee yesterday

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No, one of my friends gave that, and yeah, it's a question I gave from there only... Did you give that test?? How was it?

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Yes I gave the test and it was really difficult....this was the only question I could completely solve....I would post the complete paper soon.

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Can you please post the complete solution including explanation for this question??Log in to reply

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Sorry. I don't know how can we upload images in comment. I think we can't upload images in comment but and upload it in solutions for given questions. Can you please write the whole solution?Log in to reply