## Task 8 - V00808

Knobel Knifflig tells: I met the giant from Prague. His head and neck together are $30 \mathrm{~cm}$ long. His legs are twice as long as the head, neck, and half the torso, and the whole guy is exactly one meter taller than the head, neck, and legs together.

How tall is he?
Let the lengths of the head, neck, torso, and legs be $k, h, r, b$. Then the system of equations (lengths in $\mathrm{cm}$) is

$$
\begin{gathered}
k+h=30 \quad(1) \quad ; \quad b=2\left(k+h+\frac{1}{2} r\right) \\
k+h+r+b=100+k+h+b
\end{gathered}
$$

From (3) it immediately follows that $r=100$. Substituting (1) and the value for $r$ into (2), we get $b=160$. Therefore, $k+h+r+b=30+100+160=290$. The giant is $2.90 \mathrm{~m}$ tall.