Question

Fnd two consecutiveodd natural numbers whose product is323

Answer 1

Consecutive odd nos. are of the form (2n - 1) and (2n + 1), where n → N.
(2n - 1)•(2n + 1) = 323
→ 4n² - 1 = 323
→ 4n² = 324
→ n² = 81
→ n = ± 9
Since, n → N, n = 9
Therefore,
(2n - 1) = 17.
(2n + 1) = 19.