Algebra & Equations · Question 30 · Hard

The sum of the squares of two consecutive even positive integers is 340. What is their product?

  1. 26
  2. 224
  3. 120
  4. 168
Answer and explanation

Answer: D. 168

Explanation: n² + (n + 2)² = 340 gives n² + 2n − 168 = 0, so n = 12. The numbers are 12 and 14, and their product is 168.

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