If $a^{2} - b^{2} = 48$ and $a - b = 8$ , then what is the value of $a + b$ ?
6

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Solution

The correct option is A 6
Given,
$a^{2} - b^{2} = 48$ and $a - b = 8$

We know that,
$a^{2} - b^{2} = (a + b) \times (a - b)$
$48 = (a + b) \times 8$
$\frac{48}{8} = (a + b)$
$6 = (a + b)$

$∴ a + b = 6$

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