If (a + b) : (b + c) : (c + a) = 5 : 7 : 4 and a + b + c = 32 then the value of c is :
Answer & explanation
Correct answer: option 4
(a + b) : (b + c) : (c + a) = 5 : 7 : 4
2(a + b + c) = 16x
a + b + c = 8x = 32
x = \(\frac{32}{8}\) = 4
Now,
⇒ (a + b + c) - (a + b) = 32 - 5x = 32 - 20 = 12
⇒ c = 12