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How would you find by using algebra two consecutive odd numbers whose product is 2499?
Wiki User
∙ 12y ago
Let the first odd number be (n - 1), then the second odd number is (n - 1) + 2 = (n + 1)
Then:
(n - 1)(n + 1) = 2499
⇒ n2 - 1 = 2499
⇒ n2 = 2500
⇒ n = 50
⇒ (n - 1) = (50 - 1) = 49
& (n + 1) = (50 + 1) = 51
⇒ the two consecutive odd numbers whose product is 2499 are 49 & 51.
Wiki User
∙ 12y ago
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