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: $\frac{100}{7}$

Question

Question : Let $x=\frac{5 \frac{3}{4}-\frac{3}{7} \times 15 \frac{3}{4}+2 \frac{2}{35} \div 1 \frac{11}{25}}{\frac{3}{4} \div 5 \frac{1}{4}+5 \frac{3}{5} \div 3 \frac{4}{15}}$. When $y$ is added to $x$, the result is $\frac{7}{13}$. What is the value of $y$?

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Answer 1

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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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: $\frac{100}{7}$

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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: $\frac{100}{7}$