## Task 3 - 200513

Annegret, Heidi, Katrin, Lore, Petra, and Ruth are sharing a tent at the Pioneer camp and decide to determine the order of their cleaning duty based on their age, starting with the oldest girl.

All six girls were born in the same year, each on a different day. Katrin is older than the other five girls. Heidi has her birthday one month after Annegret, but she is older than Petra.

Lore is younger than Annegret. Ruth is older than Heidi and has her birthday one day after Lore. In what order must the six Pioneers perform their cleaning duty if they want to implement their decision?
Since Katrin is older than all five other girls, it follows that:

Katrin is older than Annegret.

Lore is younger than Annegret, thus: Annegret is older than Lore.

Ruth has a later birthday than Lore, thus: Lore is older than Ruth.

Furthermore, it follows that: Ruth is older than Heidi.

Finally, it follows that: Heidi is older than Petra.

Therefore, the sought-after order is: Katrin, Annegret, Lore, Ruth, Heidi, Petra.