Question : If A : B = 2 : 3, B : C = 6 : 7, C : D = 14 : 3, then find A : B : C : D.
Option 1: 12 : 12 : 4 : 6
Option 2: 7 : 2 : 10 : 4
Option 3: 8 : 12 : 14 : 3
Option 4: 8 : 5 : 14 : 6
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Correct Answer: 8 : 12 : 14 : 3
Solution : Given: A : B = 2 : 3 ...................(i) B : C = 6 : 7 ...................(ii) C : D = 14 : 3 ...................(iii) Multiply by 2 in equation (ii) to make C equal ⇒ B : C = 12 : 14 Multiply by 4 in equation(i) to make B equal ⇒ A : B = 8 : 12 $\therefore$ A : B : C : D = 8 : 12 : 14 : 3 Hence, the correct answer is 8 : 12 : 14 : 3.
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