((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
