You have some marbles each of one colour of red, orange, yellow, green, blue, and violet.

The number of red, yellow, and blue marbles are each even.

There are more red marbles than blue marbles, and there are more blue marbles than violet marbles.

The number of orange, green, and violet marbles are each odd.

The number of orange marbles plus the number of violet marbles is equal to the number of yellow marbles.

There are more marbles that are yellow than of any other colour.

There are at least two but no more than nine marbles of each colour. Each colour has a different number of marbles.

How many marbles are there of each colour?

Submit your answer to Gene Wirchenko <genew@telus.net>. Your answer should be in the form of a proof. That means to show how your answer must be correct. **The deadline is Wednesday, October 26, 2016 at noon Pacific Time.** I will post the answer shortly after.