Question : If A : B = 3 : 4 and B : C = 6 : 5, then A : ( A + C) is equal to:
Option 1: 9 : 10
Option 2: 10 : 9
Option 3: 9 : 19
Option 4: 19 : 9
Correct Answer: 9 : 19
Solution :
A : B = 3 : 4
B : C = 6 : 5
B is common in both, so multiplying 3 to A : B and 2 to B : C to equalise.
The ratio becomes A : B : C = 9 : 12 : 10
So, the value of A : (A + C) = 9 : (9 + 10) = 9 : 19
Hence, the correct answer is 9 : 19.
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