( (17³+7³)/(17²+7²-k) )=24 then what is the value of k?

$\left ( \frac{17^{3}+7^{3}}{17^{2}+7^{2}-k} \right )=24$ then what is the value of k?

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Correct answer: A

Explanation

The correct answer is Option 1. i.e. 119 .

$\left ( \frac{17^{3}+7^{3}}{17^{2}+7^{2}-k} \right )=24$

$\left ( \frac{5256}{289+49-k}\right )=24$

5256 = 24 (338 - k)

5256 = 8112 - 24k

24k = 2856

k = 119

SSC CGL 2022 PYQ — Question 60