Answer: There were 20 cars and 10 motorcycle in the garbage.
Step-by-step explanation:
Let x represents the total number of cars and y represents the total number of bikes initially.
Since, Mr. Rich had 2 times more cars than motorcycles in his garage.
Therefore, x = 2y ---------(1)
And, After he bought 1 more car and sold 2 motorcycles, there were 3 times more cars than motorcycles.
Therefore, x+1 = 3(y-3)
⇒x + 1 = 3y - 9
⇒3y - x = 10 ------------(2)
put the value of x from equation (1) to equation (2)
We get, y = 10
Thus again from equation (1), x = 2 × 10 = 20
Therefore,There were 20 cars and 10 motorcycles in the garage.