If a + b : b + c : c + a = 2 : 3 : 5 and a + b + c = 20, then the value of c is:
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Correct answer: D
Explanation
The correct answer is Option 4 i.e. 12.
Calculations:
⇒ a + b = 2k
⇒ b + c = 3k
⇒ c + a = 5k
Adding the above equations;
⇒ 2(a + b + c) = 10k
⇒ a + b + c = 5k
We know,
⇒ 5k = 20
⇒ k = 4
⇒ c = (a + b + c) - (a + b) = 3k = 12