I am a chilli

You have 20 distinct red chilies\color{#D61F06}{\textbf{20 distinct red chilies}} and 10 distinct Green chilies\color{#20A900}{\textbf{10 distinct Green chilies}}.

The number of special red chili powders\color{#D61F06}{\text{special red chili powders}} you can form is R\color{#D61F06}{R}.

The number of special green chili powders\color{#20A900}{\text{special green chili powders}} you can form is G\color{#20A900}{G}.

Then the ratio RG\dfrac{\color{#D61F06}{R}}{\color{#20A900}{G}} is equal to ab\dfrac{a}{b} where aa and bb are coprime, positive integers, find a+ba+b.

Details and assumptions -

For making a special chili powder, you can at once use exactly 22 chilies, and of same color.

Red chili+Green chili \color{#D61F06}{\text{Red chili}}+ \color{#20A900}{\text{Green chili}} \neq any of the asked powders.

\bullet This problem is a part of the set Vegetable combinatorics

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