The given product is $p \times q = 2430$.

Let the two-digit number $p$ be represented as: $p = 10x + 5$ where $x$ is the tens digit. The number $q$, which is the reverse of $p$, is: $q = 50 + x$

Substitute these expressions into the equation: $(10x + 5) * (50 + x) = 2430$

Step 1: Expand and simplify Expanding the equation: $(10x + 5)(50 + x) = 10x \times 50 + 10x \times x + 5 \times 50 + 5 \times x$ $= 500x + 10x^2 + 250 + 5x$ $= 10x^2 + 505x + 250$

Thus, the equation becomes: $10x^2 + 505x + 250 = 2430$ Simplify it: $10x^2 + 505x - 2180 = 0$

Step 2: Trial and error for possible values of $x$ Now, let's check values for $x$.

Trying $x = 4$: $p = 10(4) + 5 = 45$ $q = 50 + 4 = 54$ Check the product: $45 * 54 = 2430$ This is correct.

Step 3: Find the difference Now, the difference between $p$ and $q$ is: $q - p = 54 - 45 = 9$

Thus, the required difference is 9.