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Question Number 146875 by gsk2684 last updated on 16/Jul/21

In a triangle ABC, if   ((sin A)/(5−x))=((sin B)/(3x−1))=((sin C)/(2x+5)) then find   integral solutions x?

$${In}\:{a}\:{triangle}\:{ABC},\:{if}\: \\ $$$$\frac{\mathrm{sin}\:{A}}{\mathrm{5}−{x}}=\frac{\mathrm{sin}\:{B}}{\mathrm{3}{x}−\mathrm{1}}=\frac{\mathrm{sin}\:{C}}{\mathrm{2}{x}+\mathrm{5}}\:{then}\:{find} \\ $$$$\:{integral}\:{solutions}\:{x}? \\ $$

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