Question

If $x,5,10,y$ are in continued proportion, then find $x$ and $y$.

• A. $x=2.5$ and $y=20$
• B. $x=2$ and $y=15$
• C. $x=5$ and $y=10$
• D. $x=4$ and $y=20$

Answer 1

Answer: (A)

$x=2.5$ and $y=20$

Given, $x,5,10,y$ are in continued proportion

Then, $\frac{x}{5}=\frac{5}{10}=\frac{10}{y}$

If $\frac{x}{5}=\frac{5}{10}$

$\Rightarrow 10x=25$

$\Rightarrow x=2.5$

If $\frac{5}{10}=\frac{10}{y}$

$\Rightarrow 5y=100$

$\Rightarrow y=20$

So, $x=2.5$ and $y=20$.