Question

The common quantity that must be added to each term of $a^2:b^2$ to make it equal to $a:b$ is

• A. $ab$
• B. $a+b$
• C. $a-b$
• D. $\frac{a}{b}$

Answer 1

The correct option is A $ab$

$\frac{a^2+x}{b^2+x}=\frac{a}{b}$ (where 'x' is common term)

$b{a}^2+bx=a{b}^2+ax$

$\Rightarrow (b-a)x=ab[b-a]$

$\Rightarrow x=ab$