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  • What is the sum of two consecutive even numbers, the diff...
Multiple choice general knowledge math & puzzles

What is the sum of two consecutive even numbers, the difference of whose squares is 84?

  1. 34

  2. 38

  3. 42

  4. 46

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the consecutive even numbers be x and x+2. The difference of squares is (x+2)² - x² = 4x + 4 = 84. Solving: 4x = 80, so x = 20. The numbers are 20 and 22. Their sum = 20 + 22 = 42. Option C is correct.

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