## Task 3 - V10723

The class 7 student council consists of Karl, Herbert, and Richard, Ilse, and Lore. Richard is younger than Herbert, but Lore is older than Karl. Ilse is younger than Richard, while Herbert was born a little earlier than Lore. Karl is younger than Richard, and Ilse is much younger than Herbert. Lore has been living for several months longer than Richard. Karl is older than Ilse, who is younger than Lore. Herbert is older than Karl.

Determine the correct age order of our friends!
It is necessary to use the first letters as abbreviations and < for "younger than":

1. $\mathrm{R}<\mathrm{H}, \mathrm{K}<\mathrm{L}$, so the oldest must be the one who does not appear on the left side: $\mathrm{H}$
2. $\mathrm{I}<\mathrm{R}, \mathrm{L}<\mathrm{H}$, so the second oldest is the one who appears only on the left with $\mathrm{H}$ on the right side: $\mathrm{L}$
3. $\mathrm{K}<\mathrm{R}, \mathrm{I}<\mathrm{H}$, the next one is the one who appears on the left with $\mathrm{H}$ and $\mathrm{L}$ on the right side: $\mathrm{R}$
4. $\mathrm{R}<\mathrm{L}, \mathrm{I}<\mathrm{K}$, the next one can only be the one who appears on the left with $\mathrm{H}, \mathrm{L}$, and $\mathrm{R}$ on the right side: K
5. $\mathrm{I}<\mathrm{L}, \mathrm{K}<\mathrm{H}$, the youngest must then be the one who appears on the left with H, L, R, and K on the right side: I

Thus, the order (oldest first) is: Herbert, Lore, Richard, Karl, Ilse.