If $a + b = 12, a b = 17$ , then the value of $(4 + a) (4 + b)$ is

61

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64

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81

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74

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Solution

The correct option is C $81$
$a + b = 12, a b = 17$
$(4 + a) (4 + b) = 16 + 4 b + 4 b + a b = 16 + 4 (a + b) + a b = 16 + 4 (12) + 17 = 16 + 48 + 17 = 81$

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