Algebra & Equations · Question 15 · Hard

The product of two consecutive positive odd numbers is 323. What is their sum?

  1. 34
  2. 36
  3. 32
  4. 38
Answer and explanation

Answer: B. 36

Explanation: Let them be n and n + 2: n² + 2n − 323 = 0, i.e. (n − 17)(n + 19) = 0. So n = 17, the numbers are 17 and 19, and their sum is 36.

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