If A : B = 5 : 6 and B : C = 6 : 7, then A + B : B + C : A + C is:
Answer & explanation
Correct answer: option 3
A : B = 5 : 6 and B : C = 6 : 7
6A = 5B ⇒ B = 6A/5
7B = 6C ⇒ B = 6C/7
⇒ A = 5C/7
A+B : B+C : A+C = A + 6A/5 : 6A/5 + 7A/5 : A + 7A/5
A+B : B+C : A+C = 11A/5 : 13A/5 : 12A/5
The correct answer is Option (3) → 11 : 13 : 12