Production Ratio Change Calculation

A company produces two types of gadgets, A and B. The ratio of the production of gadget A to gadget B is 7:5. If the company increases its production ratio to 9:7 without changing the total number of gadgets produced, how many more gadgets of type A will be produced than before?

Let the total number of gadgets produced initially be denoted as $T$. The initial and new numbers of gadgets produced can be represented as:

Initial production of gadget A: $\frac{7}{12}T$

Initial production of gadget B: $\frac{5}{12}T$

New production ratio is 9:7, thus:

New production of gadget A: $\frac{9}{16}T$

New production of gadget B: $\frac{7}{16}T$

Calculate the difference in production of gadget A before and after.