If (a + b) : (b + c) : (c + a) = 4 : 5 : 3 and a + b + c = 24 then the value of c is :
Answer & explanation
Correct answer: option 2
(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