Question

a/b+a/c+b/a+b/c+c/a+c/b=?
conditions- i. a+b+c=6
ii. 1/a+1/b+1/c=3/2
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Answer 1

Answer:

6

Step-by-step explanation:

Note

am means arithmetic mean

hm means harmonic mean

am of a , b and c

$= \frac{a + b + c}{3} = \frac{6}{3} = 2$

hm of a , b and c

$\frac{3}{hm} = \frac{1}{a} + \frac{1}{b} + \frac{1}{c} = \frac{3}{2} \: \: (given) \\ \\ \implies \: hm = 2$

So

am = hm

Which is only possible if a = b = c

All are equal so their ratio is one so answer is 6 .