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Question Number 74139 by MASANJAJ last updated on 19/Nov/19

Commented by TawaTawa last updated on 19/Nov/19

$$\mathrm{a}:\mathrm{b}=\frac{21}{4},\mathrm{and}\mathrm{b}:\mathrm{c}=\frac{7}{3}$$$$\therefore \frac{\mathrm{a}}{\mathrm{b}}=\frac{21}{4}\mathrm{and}\frac{\mathrm{b}}{\mathrm{c}}=\frac{7}{3}$$$$\therefore \mathrm{a}=\frac{21\mathrm{b}}{4}\mathrm{and}\mathrm{c}=\frac{3\mathrm{b}}{7}$$$$\therefore \mathrm{a}:\mathrm{b}:\mathrm{c}=\frac{21\mathrm{b}}{4}:\mathrm{b}:\frac{3\mathrm{b}}{7}$$$$\therefore \mathrm{a}:\mathrm{b}:\mathrm{c}=\frac{21\mathrm{b}}{4}\times 28:\mathrm{b}\times 28:\frac{3\mathrm{b}}{7}\times 28$$$$\therefore \mathrm{a}:\mathrm{b}:\mathrm{c}=21\times 7:1\times 28:3\times 4$$$$\therefore \mathrm{a}:\mathrm{b}:\mathrm{c}=147:28:12$$$$$$$$\left(\mathrm{i}\right)\mathrm{a}:\mathrm{c}=147:12$$$$\left(\mathrm{ii}\right)\mathrm{a}:\mathrm{b}:\mathrm{c}=147:28:12$$

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