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If (a+b): (b+ c): (c+a)= 6 : 7 : 8 and a+b+c= 14, then the value of c =
Question

If (a+b): (b+ c): (c+a)= 6 : 7 : 8 and a+b+c= 14, then the value of c =

A.

6

B.

7

C.

8

D.

14

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

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