Question

Find the value of 'a' if, ${35}^2-{27}^2=8a$.

• A. 62
• B. 52
• C. 42
• D. 56

Answer 1

The correct option is A 62

Given,
${35}^2-{27}^2=8a$
This is in the form of $a^2-b^2$ where $a=35$ and $b=37$.
We know that, $a^2-b^2=(a+b)(a-b)$.
$\Rightarrow 8a=(35+27)(35-27)$
$\Rightarrow 8a=62\times 8$
$\Rightarrow a=62$