Question

If $20:28=x:7=10:y$.

The values of $x$ and $y$ in the box respectively are __________.

• A. $5,14$
• B. $14,5$
• C. $8,10$
• D. $10,8$

Answer 1

Answer: (A)

We have, $20:28=x:7=10:y$
Taking first two ratios, we have
$20:28=x:7$
$\Rightarrow 20\times 7=x\times 28$
$\Rightarrow x=\frac{20\times 7}{28}=5$
Again taking last and first ratio, we get
$20:28=10:y\Rightarrow 20\times y=28\times 10$
$\Rightarrow y=\frac{10\times 28}{20}=14$.