Peel and wash the potatoes and cut them roughly into pieces. Peel, wash and chop the carrots. Cover the potatoes and carrots and cook them in little boiling salted water for about 20 minutes.
Warm up the milk. Drain the potatoes and carrots and, except for some carrots for garnishing, press them through a potato press. Add tahini, orange juice and milk and stir in. Season to taste with salt and cumin.
Arrange and sprinkle with cumin, sesame seeds and carrot cubes.