Question

$\text{If x and y vary directly,}$
$y_1=x_2=5\text{and}{y}_2=y_1+10,\text{then what is the value of}{x}_1?$

• A. $2$
• B. $\frac{1}{2}$
• C. $\frac{5}{3}$
• D. $\frac{5}{2}$

Answer 1

The correct option is C $\frac{5}{3}$

$\text{Given, x and y vary directly,}$

$\Rightarrow \frac{x_1}{y_1}=\frac{x_2}{y_2}$

Given,
$y_1=5$
$x_2=5$
$y_2=y_1+10=5+10=15$

$\therefore x_1=\frac{x_2\times y_1}{y_2}$

$\Rightarrow x_1=\frac{5\times 5}{15}=\frac{5}{3}$