Question : What is the value of $\frac{X}{Y}$ if $\frac{X-5 Y}{X+5 Y}=\frac{7}{13}$
Option 1: $\frac{23}{7}$
Option 2: $\frac{24}{9}$
Option 3: $\frac{50}{3}$
Option 4: $\frac{100}{7}$
Answer (1)
18th Jan, 2024
Correct Answer: $\frac{50}{3}$
Solution :
Given:
$\frac{X-5 Y}{X+5Y}=\frac{7}{13}$
⇒ $13X-65Y=7X+35Y$
⇒ $6X=100Y$
$\therefore \frac{X}{Y}=\frac{50}{3}$
Hence, the correct answer is $\frac{50}{3}$.
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