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If 2A = 3B = 4C, the A : B : C is = ?

a) 2 : 3 : 4
b) 4 : 3 : 2
c) 6 : 4 : 3
d) 3 : 4 : 6

Answer: c
Explanation:
$$\eqalign{ & \,\,\,{\text{A}}\,\,\,\,\,\,\,{\text{:}}\,\,\,\,\,\,{\text{B}}\,\,\,\,\,\,{\text{:}}\,\,\,\,\,{\text{C}} \cr & 3 \times 4:2 \times 4:2 \times 3 \cr & \,\,\,12\,\,\,\,:\,\,\,\,\,{\text{8}}\,\,\,\,\,:\,\,\,\,{\text{6}} \cr & \,\,\,\boxed{\,\,6\,\,\,\,:\,\,\,\,4\,\,\,\,\,\,:\,\,\,\,3\,\,} \cr} $$

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