Answer: 17, 19, 21
Step-by-step explanation:
Three consecutive odd numbers: x, x+2, x+4 (since odd numbers occur every other number)
Just to show you that the numbers are x, x+2, and x+4, just say x is 13 then x+2 is 15 and x+4 is 17 (3 consecutive odd numbers)
Now the second equation:
3x = 2(x+4) + 9
three times smallest number (which is x) is equal to 2 times the largest number (x+4) plus 9
Now solve
3x = 2(x+4) +9
3x = 2x + 8 + 9
3x = 2x + 17
x = 17
x+2 = 19
x+3 = 21