## Task 1 - 140511

Determine the natural numbers $a, b, c, d, e$, of which the following is known:

(1) $a$ is half of $b$.

(2) $b$ is the sum of $c$ and $d$.

(3) $c$ is the difference between $d$ and $e$.

(4) $d$ is three times $e$.

(5) $e$ is one fourth of 56.
The natural numbers can be calculated from (5) to (1):

From (5) it immediately follows that $e=\frac{56}{4}=14$ and thus $d=42$. With $d-e=c=28$, we get $b=70$ and finally $a=35$.