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Algebra Level 4

{ a b = a + c b c = b + a c a = a + c \begin{cases} a \sqrt{b} = a+c \\ b \sqrt{c} = b+a \\ c \sqrt{a} = a+c \end{cases}

Given that a , b a,b and c c are positive reals satisfying the system of equations above, find a + b + c a+b+c .


The answer is 12.

Aloysius Ng by Aloysius Ng , 20, Singapore

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1 solution

Joel Tan
Dec 19, 2014

(a, b, c)=(0, 0, 0)?

0 Helpful 0 Interesting 0 Brilliant 0 Confused

The satement of the problem has been updated.

Those who previously answered 0 have been marked correct.

Calvin Lin Staff - 6 years, 5 months ago

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Very sorry about that.

Aloysius Ng - 6 years, 5 months ago

Can someone give a solution pls

Nitin Kumar - 1 year, 3 months ago

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