Let the first odd number be \(x\). Then the next consecutive odd number is \((x + 2)\). According to the question: \[ x(x + 2) = 143 \] \[ x^2 + 2x - 143 = 0 \] \[ x^2 + (13 - 11)x - 143 = 0 \] \[ x^2 + 13x - 11x - 143 = 0 \] \[ x(x + 13) - 11(x + 13) = 0 \] \[ (x + 13)(x - 11) = 0 \] Either \((x + 13) = 0\) or \((x - 11) = 0\) When \((x + 13) = 0\), then \(x = -13\) [Negative, not acceptable] When \((x - 11) = 0\), then \(x = 11\) ∴ One odd number is 11 and the next consecutive odd number is \(11 + 2 = 13\)