Question
Download Solution PDFWhat is the value of \(\rm \frac{X}{Y}\) if \(\rm \frac{X-5Y}{X+5Y}=\frac{7}{13}\).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\(\rm \frac{X-5Y}{X+5Y}=\frac{7}{13}\)
Calculation:
⇒ \(\rm \frac{X-5Y}{X+5Y}=\frac{7}{13}\)
⇒ 13 × (X - 5Y) = 7 × (X + 5Y)
⇒ 13 X - 65 Y = 7 X + 35 Y
⇒ 13 X - 7 X = 65 Y + 35 Y
⇒ 6 X = 100 Y
⇒ X/Y = 100/6 = 50/3
∴ The correct answer is 50/3.
Last updated on Jul 21, 2025
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