utets13 q118

0. If the difference of the squares of two consecutive even numbers is 84, then the sum of those numbers will be

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Option : C
Explanation : (C) Let the two consecutive even number be x and (x + 2).
According to the question.
(x + 2)²- x² = 84
x² + 4 + 4x - x² = 84
4x = 80 => x = 20
So, the sum is 20 + 22 = 42

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