Cut apples in half and core.
Remove any spots, then cut apples in quarters.
Put apples in deep, heavy saucepan.
Add water and cook.
Stir occasionally to keep cooking even throughout and to prevent apples from sticking.
When apples are thoroughly soft, pour into food press, standing in a large pan.
Press apples through sieve and stir in sugar (lesser amount initially) while sauce is still warm so sugar dissolves.
Taste.
Add more sugar if needed.
Allow to cool and serve, or pour into canning jars while still hot and process.