Multiple choice

If the difference of squares of two consecutive even numbers is 84, then what is the sum of the numbers?

  1. 34

  2. 38

  3. 42

  4. 46

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

This is the correct answer. 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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