by Sage Pearce-Higgins Wed Jun 17, 2020 4:46 am
In my edition the problem states that "each letter stands for a different non-zero integer", so that C and A have to be different.
As for a strategy, the solution shown here applies a combination of elimination, and working backwards from the answer choices (both extremely useful approaches). Given the various constraints in the question, there are only 4 possible multiplications, meaning that it's pretty quick to list them all out and see which one works.
When you're using these books, I would strongly recommend trying to solve the problems before looking at the solution. I know how easy it is just to read through these books, but if you cover up the explanation and give yourself a few minutes to attempt the problem you'll get more out of your study time.