Question

The values of $x$ and $y$ in the box respectively are _____ . $\frac{15}{18}=\frac{\left[x\right]}{6}=\frac{10}{\left[y\right]}$

• A. $5,12$
• B. $12,5$
• C. $5,10$
• D. $10,5$

Answer 1

Answer: (A)

$5,12$

$\Rightarrow$ We have given, $\frac{15}{8}=\frac{\left[x\right]}{6}=\frac{10}{\left[y\right]}$

$\Rightarrow$ $\frac{15}{18}=\frac{\left[x\right]}{6}$

$\Rightarrow$ $15\times 6=18\times x$

$\Rightarrow$ $90=18x$

$\Rightarrow$ $x=\frac{90}{18}$

$\therefore$ $x=5$

$\Rightarrow$ Then, $\frac{15}{18}=\frac{10}{\left[y\right]}$

$\Rightarrow$ $15\times y=18\times 10$

$\Rightarrow$ $15y=180$

$\Rightarrow$ $y=\frac{180}{15}$

$\therefore$ $y=12$.

$\therefore$ The values of $x$ and $y$ in the box respectively are $5$ and $12$.