## Task 2 - 270512

A segment of length $240 \mathrm{~mm}$ is to be divided into two sub-segments. The larger sub-segment should be exactly 47 times as long as the smaller one.

How long must the smaller sub-segment be and how long the larger one? Justify your answer!
Since the longer segment is supposed to be exactly 47 times as long as the shorter one, exactly 48 such small parts must add up to a distance that is exactly as long as the entire distance.

Because $240: 48=5$, the shorter segment must therefore be $5 \mathrm{~mm}$ long, and because $240-5=235$, the longer segment must be $235 \mathrm{~mm}$ long.