If $$\frac{{{\text{a}} + {\text{b}}}}{{\text{c}}} = \frac{{{\text{b}} + {\text{c}}}}{{\text{a}}} = \frac{{{\text{c}} + {\text{a}}}}{{\text{b}}} = {\text{k}},$$ then k is equal to -
A. 0
B. 1
C. 2
D. a + b + c
Answer: Option C
Solution (By Examveda Team)
a + b = ck,b + c = ak,
c + a = bk
Adding, we get : 2(a + b + c) = ak + bk + ck
⇒ k(a + b + c) or k = 2
This Question Belongs to Arithmetic Ability >> Ratio
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