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Let the two consecutive odd integers be ( x ) and ( x + 2 ). The product of the integers is ( x(x + 2) ) and their sum is ( x + (x + 2) = 2x + 2 ). The equation based on the problem statement is ( x(x + 2) = 7(2x + 2) + 71 ). Solving this gives ( x^2 + 2x = 14x + 14 + 71 ), leading to ( x^2 - 12x - 85 = 0 ), which factors to ( (x - 17)(x + 5) = 0 ). Thus, the integers are 17 and 19.

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3w ago

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