Find the sum of two consecutive even numbers, their difference of whose square is 84?

A) 42

B) 44

C) 46

D) None of these

Let the numbers be x and x + 2.

Then, (x + 2)2 – x2 = 84

 4x + 4 = 84

 4x = 80

 x = 20.

 The required sum = x + (x + 2) = 2x + 2 = 42

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