Answer:
The two numbers are 7 and 9; -7 and -9 is an alternative answer.
Explanation:
Let the two consecutive odd integers be represented by x and (x+2). Then x(x+2) = 63, or x^2 + 2x - 63 = 0, or (x-7)(x+9) = 0. Then, x is either 7 or -9. Check: Does (7)(9) = 63? YES