If (a + b) : (b + c) : (c + a) = 4 : 5 : 3 and a + b + c = 24 then the value of c is :

16 8 10 12

8

(a + b) : (b + c) : (c + a) = 4 : 5 : 3  2(a + b + c) = 12x a + b + c = 6x = 24 x = \(\frac{24}{6}\) = 4  Now, ⇒ (a + b + c) - (a + b) = 24 - 4x = 24 - 16 = 8 ⇒ c = 8