Question : If $A: B: C=2: 3: 5$, then what is the value of $(A+B):(B+C):(C+A)$?
Option 1: 8 : 15 : 14
Option 2: 5 : 8 : 7
Option 3: 6 : 9 : 14
Option 4: 9 : 10 : 12
Correct Answer: 5 : 8 : 7
Solution :
Given: $A: B: C=2: 3: 5$
Let $A=2K,B=3K$, and $C=5K$
The value of $(A+B):(B+C):(C+A)$
$=(2K+3K) : (3K+5K) : (5K+2K)$
$=5K : 8K : 7K=5:8:7$
Hence, the correct answer is 5 : 8 : 7.
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