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If A : B = $$\frac{1}{2}$$ : $$\frac{1}{3}$$ and B : C = $$\frac{1}{2}$$ : $$\frac{1}{3},$$ then A, B, C is equal to -
Answer & Solution
Correct Answer:
Option
D
$$\eqalign{
& = A:B = \frac{1}{2}:\frac{1}{3} = 3:2, \cr
& = {\text{B}}:{\text{C}} = \frac{1}{2}:\frac{1}{3} = 3:2 \cr
& = \left( {3 \times \frac{2}{3}} \right):\left( {2 \times \frac{2}{3}} \right) \cr
& = 2:\frac{4}{3}. \cr
& \Rightarrow {\text{A}}:{\text{B}}:{\text{C}} = 3:2:\frac{4}{3} \cr
& = 9:6:4 \cr} $$
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