Correct option is A
(a+b) : (b+c) : (c+a) = 6 : 7 : 8
Let 6x : 7x : 8x
Or, a+b+b+c+c+a = 6x + 7x + 8x
2x +2b+2c = 21x
Or, 2 ( a+b+c) = 21x
Or, a+b+c = 21/2 x
Given,
a+b+c = 14
21/2 x = 14
Or, x = 28 / 21 = 4/3
So, a+b = 6 x 4/3 = 8
So, a+b+c = 14
C = 14 – 8 = 6