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The product of two consecutive positive odd integers is 323. What is the larger one?

Competition practiceAlgebra

A19
B17
C21
D18

Step-by-Step Solution

n (n + 2) = 323

gives

n^{2} + 2 n - 323 = 0, (n - 17) (n + 19) = 0

, so

n = 17

and the larger is 19.

Answer: A) 19

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