# “Luxury Cars Puzzle” || Tricky Puzzle Solution Explained

Puzzle Details:A father wants to divide his 17 luxury cars among his three sons. According to the father, the oldest son should get half of the luxury cars, the middle son should get one third of the luxury cars and the youngest son should get one ninth of the luxury cars.

When the father died, his sons were not able to divide the luxury cars as the result was coming in fractions.

As the sons were fighting on how to divide the luxury cars, a traveling mathematician driving by his luxury car came and heard their problem.

He proposed a solution with which all the sons got their share in the property without destroying any car.

What was the advice given by the traveling mathematician and how the group of luxury cars was divided?

Take your time to solve this puzzle before checking the solution. Do not forget to Share your approach in the comment section.

**Solution :**

**Solution:**

Well, this puzzle is interesting. You have to think such that with the solution everybody is happy and nobody suffers any loss. Let’s see the problem first. We have 17 luxury cars to be divided among three sons with the ratio as given in the problem statement.

the oldest son should get half of the luxury cars. hence 1st son will get half of the luxury cars = (17 / 2) = 8.5

The middle son should get one-third of the luxury cars. hence 2nd son will get one-third of the luxury cars = (17 / 3) = 5.66

finally, the youngest son should get one-ninth of the luxury cars. hence 3rd son will get the one-ninth of the luxury cars = (17 / 9) = 1.88

As we can see all the results are in fractions, so luxury cars cannot be distributed like this.

What will the traveling mathematician do to solve it? Think outside the box to solve this puzzle. The traveling mathematician adds his luxury car to the group of luxury cars. So in total, we have 18 luxury cars now.

Now let’s see the scenario again.

The oldest son should get half of the luxury cars. hence 1st son will get half of the luxury cars. 1st son — half of the luxury car (18 / 2) = 9

The middle son should get one-third of the luxury cars. hence 2nd son will get one-third of the luxury cars. one-third of luxury car (18 / 3) = 6

finally, the youngest son should get one-ninth of the luxury cars. hence 3rd son will get one-ninth of the luxury cars. one-ninth of luxury car (18 / 9) = 2

if we count, there are 17 cars distributed.

So in total 17 luxury cars will get distributed among the three sons and the traveling mathematician will take his luxury car and leave.