## Task 3 - 110623

The famous mathematician Leonhard Euler (1707 to 1783) posed the following problem:

Decompose the number 25 into two summands such that the larger summand is 49 times as large as the smaller summand.

Hint: The summands do not have to be natural numbers.
If the larger addend is to be 49 times the smaller addend, then the sum must be 50 times the smaller addend. This can be obtained by dividing the sum by 50; thus, it is $25: 50=\frac{1}{2}$, and accordingly, the larger addend must be $49 \cdot 1=\frac{49}{2}$.

Indeed, the sum of these two addends (where the larger is 49 times as large as the smaller) is $\frac{1}{2}+\frac{49}{2}=25$.