Question

Mark the correct alternative in the following question:

lf 2a = 3b = 4c, then a : b : c =

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

Answer 1

$$\begin{gathered} \mathrm{As},2a=3b=4c \\ \Rightarrow 2a=3b\mathrm{and}3b=4c \\ \Rightarrow \frac{a}{b}=\frac{3}{2}\mathrm{and}\frac{b}{c}=\frac{4}{3} \\ \Rightarrow \frac{a}{b}=\frac{6}{4}\mathrm{and}\frac{b}{c}=\frac{4}{3} \\ \Rightarrow a:b=6:4\mathrm{and}b:c=4:3 \\ \therefore a:b:c=6:4:3 \end{gathered}$$

Hence, the correct alternative is option (d).