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If 6A = 11B = 7C; find A : B : C
- A66 : 42 : 77
- B77 : 42 : 66
- C42 : 77 : 66
- D7 : 11 : 6
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CCommunity
6A = 11B = 7C
$( \Rightarrow \frac{A}{1} = \frac{B}{{\frac{6}{{11}}}} = \frac{C}{{\frac{6}{7}}} \Rightarrow \frac{A}{{77}} = \frac{B}{{42}} = \frac{C}{{66}})$
∴ A : B : C = 77 : 42 : 66
$( \Rightarrow \frac{A}{1} = \frac{B}{{\frac{6}{{11}}}} = \frac{C}{{\frac{6}{7}}} \Rightarrow \frac{A}{{77}} = \frac{B}{{42}} = \frac{C}{{66}})$
∴ A : B : C = 77 : 42 : 66