Question
If A : B = 3 : 5 and B : C = 4 : 7, find A : B : C

Answer


$\begin{aligned} & A: B=3: 5 \\ & \left.=\frac{3}{5}: 1 \quad \text { (Dividing by } 5\right.)\\ & \text { and } B: C=4: 7 \\ & =1: \frac{7}{4} \quad \ldots(\text { Dividing by } 4) \\ & \therefore A: B: C=\frac{3}{5}: 1: \frac{7}{4} \\ & =12: 20: 35 \quad \ldots(\text { Multiplying by } 5 \times 4=20)\end{aligned}$

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