## Task 3 - 260513

Jörg admires Holger's rabbits and pigeons. He would like to know how many rabbits and pigeons Holger has, so he asks him about it.

Holger answers: "I have a total of 24 animals, which together have 62 legs. I have no other animals besides rabbits and pigeons."

How many rabbits and how many pigeons does Holger have? Justify your answers!
If each of Holger's animals had only two legs, there would be exactly 48 legs in total because $24 \cdot 2 = 48$. According to Holger's statements and because 62 - $48 = 14$, there are 14 more legs than 48.

Since pigeons have only two legs, these 14 extra legs can only belong to the rabbits. Two legs of each rabbit were already counted among the 48 legs. The two remaining legs of each rabbit must add up to 14 legs.

Therefore, Holger's statements can only be correct if he has 7 rabbits and 17 pigeons, since 14 : $2 = 7$ and $24 - 7 = 17$.