Question

Find the value of $a$ and $b$ respectively
After applying invertendo to $2:5::3:9$ we get $a:2::9:b$

• A. $9$ and $2$
• B. $2$ and $9$
• C. $3$ and $5$
• D. $5$ and $3$

Answer 1

The correct option is D $5$ and $3$

If $a:b::c:d$ then $b:a::d:c$ is invertendo property of ratios

We have $2:5::3:9$

After applying invertendo we get

$5:2::9:3\equiv a:2::9:b$

$\Rightarrow a=5,b=3$

Option D is correct