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

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Solution

The correct option is A 62
$Given : 35^{2} - 27^{2} = 8 a$

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

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

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