Bradley and Ryan are having a contest to see who can collect the most bumper stickers Bradley started with 23 bumper stickers and planes to add four each month Ryan has nine bumper stickers and plans to add six each month after how many months will they have the same number of bumper stickers

Let's assume it takes x months for Bradley and Ryan to have the same number of bumper stickers.

After x months, Bradley will have 23 + 4x bumper stickers.
After x months, Ryan will have 9 + 6x bumper stickers.
To find when they have the same number of bumper stickers, we need to solve the equation:
23 + 4x = 9 + 6x
Subtract 4x from both sides of the equation:
23 = 9 + 2x
Subtract 9 from both sides of the equation:
14 = 2x
Divide both sides by 2:
7 = x
After 7 months, they will have the same number of bumper stickers. Answer: \boxed{7}.