If ((a + b) :(b + c)) :(c + a) = (6 : 7) : 8 and (a + b + c) = 14, then the value of c is

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((a + b) :(b + c)) :(c + a) = (6 : 7) : 8 ഉം (a + b + c) = 14 ഉം ആണെങ്കിൽ c യുടെ മൂല്യം

A6

B7

C8

D14

Answer:

A. 6

Read Explanation:

((a + b) :(b + c)) :(c + a) = (6 : 7) : 8 = k (a+b)/6 = ( b + c)/7 = ( c + a)/8 = k a+b= 6k b + c = 7k a + c = 8k 2( a + b + c) = 6k + 7k + 8k = 21k a + b + c = 21k/2 ...(1) a + b + c = 14 ....(2) (1) & (2) ⇒ 21k/2 = 14 k = (14 × 2)/21 = 4/3 a + b = 6k = 6 × 4/3 = 8 C = (a + b + c) - ( a + b) = 14 - 8 = 6

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