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a number qs

Submitted by divya83 on Sat, 2007-12-15 14:28

If a, b and c are positive real numbers, then find the minimum value of a/(b+3c) + b/(c+3a) + c/(a+3b)

a. 3/8             b. 3/5            c. 15/22            d. 18/25               e. 3/4

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Posted on: Sat, 2007-12-15 23:30 #1
The given expression 'll be

The given expression 'll be minimum when a=b=c (think why?)

so the minimum value id 3/4 (ans e)

Posted on: Mon, 2007-12-17 11:40 #2
Answer

Spot on answer ... itz 3/4 (option e)

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Posted on: Mon, 2007-12-17 12:15 #3
But what is the logic behind

But what is the logic behind making all the values same ???

Posted on: Fri, 2008-01-04 11:17 #4
ans

ya ans is (3/4) when all r equal

 

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