Question : If A : B = 2 : 3 and B : C = 3 : 7, then (A + B) : (B + C) : (C + A) is:
Option 1: 4 : 8 : 9
Option 2: 5 : 8 : 9
Option 3: 5 : 10 : 9
Option 4: 4 : 10 : 9
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Correct Answer: 5 : 10 : 9
Solution :
Given, A : B = 2 : 3 and B : C = 3 : 7
Since B is common in both A : B and B : C and has the same value
Thus, A : B : C = 2 : 3 : 7
So, (A + B) : (B + C) : (C + A)
Putting the values, we get
= (2 + 3) : (3 + 7) : (7 + 2)
= 5 : 10 : 9
Hence, the correct answer is 5 : 10 : 9.
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