Ratio and Proportion — Mathematics STD 10 — Question
ICSE BoardEnglish MediumSTD 10MathematicsRatio and Proportion3 Marks
Question
If $\frac{3 x+5 y}{3 x-5 y}=\frac{7}{3}$, Find $x : y$
✓
Answer
$ \begin{aligned} & \frac{3 x+5 y}{3 x-5 y}=\frac{7}{3} \\ & \Rightarrow 9 x +15 y =21 x -35 y \ldots[\text { By cross multiplication] } \\ & \Rightarrow 21 x -9 x =15 y +35 y \\ & \Rightarrow 12 x =50 y \\ & \Rightarrow \frac{x}{y}=\frac{50}{12}=\frac{25}{6} \end{aligned}$ Hence, $x: y=25: 6$.
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