Question

$\text{If}{35}^2-{27}^2=8a,$
$\text{then find the value of a.}$

• A. 62
• B. 52
• C. 42
• D. 56

Answer 1

The correct option is A 62

$\text{Given :}{35}^2-{27}^2=8a$

Using the identity,
$a^2-b^2=(a+b)(a-b)$

${35}^2-{27}^2=(35+27)(35-27)$
$\Rightarrow 8a=(35+27)(35-27)$
$\Rightarrow 8a=62\times 8$
$\Rightarrow a=62$