Question:
If \(\frac{x + y}{x - y} = \frac{5}{2}\), then value of \(\frac{x}{y}\) is
If \(\frac{x + y}{x - y} = \frac{5}{2}\), then value of \(\frac{x}{y}\) is
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For \(\frac{x+y}{x-y} = a\), use shortcut:
\[
\frac{x}{y} = \frac{a+1}{a-1}
\]
Updated On: Apr 20, 2026
- \(\frac{3}{8}\)
- \(\frac{7}{3}\)
- \(\frac{5}{3}\)
- \(\frac{3}{5}\)
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The Correct Option is B
Solution and Explanation
Step 1:
Given: \[ \frac{x+y}{x-y} = \frac{5}{2} \]
Step 2:
Cross-multiply: \[ 2(x+y) = 5(x-y) \] \[ 2x + 2y = 5x - 5y \] Rearrange: \[ 2y + 5y = 5x - 2x \] \[ 7y = 3x \] \[ \frac{x}{y} = \frac{7}{3} \]
Step 3:
\[ \boxed{\frac{7}{3}} \]
Given: \[ \frac{x+y}{x-y} = \frac{5}{2} \]
Step 2:
Cross-multiply: \[ 2(x+y) = 5(x-y) \] \[ 2x + 2y = 5x - 5y \] Rearrange: \[ 2y + 5y = 5x - 2x \] \[ 7y = 3x \] \[ \frac{x}{y} = \frac{7}{3} \]
Step 3:
\[ \boxed{\frac{7}{3}} \]
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