Quickly? That's what every manager wants, but I doubt it.
You have fundamentally different models of UIs, and different programming languages.
Unless these applications are small, it is unlikely that will be able to convert them by hand in any short period of time (or even by yourself as it appears the OP implies "I intend").
Gartner Group has analyzed manual migrations, and suggests if everything is "similar" the actual conversion rate is ~~ 150 lines/day, which is possible because you are translating more or less directly from a working, debugged application. (Just how big is the application in SLOC?) So, if you have 75,000 lines of code, you're looking at 500 man-days minimum. You might make the case that Delphi as programming langauges and C# are similar. You cannot reasonably make that case for the Delphi UI and Silverlight, so this estimate is a lower bound.
There are those that say, "just throw it away and recode it from scratch". Unless your productivity exceeds 150 debugged lines of code per day [classic software engineering texts will tell you it is much smaller than this] this will take you even longer. Usually it fails because you end up forgetting what features exist in the current program, and rediscover them late in development or worse after an attempted reployment. Usually what happens is the old application continues to evolve while the new one is being built (remember, you're 500 man-days away from the new one minimum!) and the new one has to play catchup with these changes. If the application has any serious scale (e.g., a million lines) this often prevents the new one from ever being servicable. Another way to think about this, "how long did it take to build the original application?", and "why should building a replacement be enormously easier?". YMMV, if you can work miracles.
My very biased opinion (I build langauge translation tools) is that one of the most practical ways to do this is automated translation. This has its costs, too; they aren't off-the-shelf items no matter what somebody tells you. You have set up the translator, and that also takes a lot of energy, but that energy is proportional to the size of the language and (UI) library features used, rather than the application size, so it is far more effective as the program gets large. This is still on the order of hundreds of man-days to code and test for just for the langauge translation part. The difference is that once set up, you can apply it to the existing application of whatever size in whatever state it happens to be in. There's more complications than this, but this approach overcomes the "can't catch up" problem of manual conversions, and the "can't get enough coders to manually translate it".
For more details, see my answer on how to translate between languages.
If your application is relatively small, there are IMHO no good answers. Hand translation or recoding are likely your only (ugly) choices.