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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