Dinner Tonight: Spicy Noodles with Tofu (Dou Hua Mian)

2 carrots, peeled, ends trimmed

1 tablespoon sugar

1 teaspoon salt

For the Noodles

1 pound firm tofu, cut into 1/2-inch cubes

10 ounces dried Chinese flat noodles

3 tablespoons sesame paste (or tahini)

3 tablespoons chili oil

2 tablespoons light soy sauce

2 tablespoons dark soy sauce

2 teaspoons sesame oil

3 scallions, green parts only, thinly sliced

1/4 cup roasted peanuts