Question : If 2A = 3B = 7C, then what is the value of A : B : C?
Option 1: 3 : 2 : 1
Option 2: 21 : 14 : 6
Option 3: 21 : 7 : 6
Option 4: 14 : 18 : 5
Correct Answer: 21 : 14 : 6
Solution :
Given, 2A = 3B
⇒ A = $\frac{3}{2}$B
And, 7C = 3B
⇒ C = $\frac{3}{7}$B
⇒ A : B : C = $\frac{3}{2}$B : B : $\frac{3}{7}$B
⇒ A : B : C = 21B : 14B : 6B = 21 : 14 : 6
Hence, the correct answer is 21 : 14 : 6.
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