My guess is it'll work but somethimes 1 measurement is worth 1,000 guesses.

1. Measure the vertical distance between the brake mounting hole and the brake surface of your rim. Measure both front and rear. If you don't have a 700 c wheelset to trial fit, att 5 mm to the answer that you get with a 27" rim. I think that the brake set that you showed has a 47-57 mm reach.

2. Your bike has nutted brake mounting bolts. The new brake will be different. The front is easy, just drill out the back of the fork to match a recessed nut. The rear is a little more tricky because you can't get a drill behind the brake bridge. The easiest solution is to use the rear brake on the front with a longer recessed nut. Then use the front brake with it's longer mounting bolt for the rear along with the concave washer and nut from the brake that you're taking off.