There are two answers to this question the first possible answer is 5, 6, and 7 and the second possible answer is -4, -3, and -2
Step-by-step explanation:
let the three numbers be (x-1), x, and (x+1) the product of the smallest and largest number is 17 more than 3 times the middle number, or (x-1)(x+1) = 3x+17, or x^2-1 = 3+17, or x^2-3x-18 = 0 (x-6)(x+3) = 0 So x = 6 or -3 Then just subtract one and add one to get the other integers. the three numbers are 5, 6, and 7 or -4, -3, and -2
