The Common Progression Problem

Algebra Level 3

I have 2 arithmetic progressions: {16,21,26,31,…21,25,29,33,… \begin{cases} 16,21,26,31, \ldots \\ 21,25,29,33, \ldots \end{cases} The number 21 appears in both of these progressions.
There are also other numbers that appear in both of these 2 progressions!

What is the sum of the first 100 common terms of these 2 progressions?

Saswata Naha by Saswata Naha
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