The product of two consecutive positive odd numbers is 143. Find the numbers.

Let the numbers be \(x\) and \(x + 2\).

\(x(x + 2) = 143 \Rightarrow x^2 + 2x - 143 = 0 \Rightarrow (x + 13)(x - 11) = 0\)

\(x = 11\) (x = −13 is rejected, as the numbers are positive).

The numbers are 11 and 13. Check: 11 × 13 = 143.

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