2024 Author: Malcolm Clapton | [email protected]. Last modified: 2023-12-17 03:44
Try to understand what kind of tricky scheme with settling in the rooms the guys are turning.
The disciplined leader of the first squad placed 20 children in 8 rooms of the building as shown in the figure.
In the evenings, the counselor went around her property and checked that there were 7 people in the rooms on each side of the building. Once, four guys from a neighboring building came to visit the first squad and stayed overnight. Moreover, 24 children were accommodated in such a way that in the evening the counselor counted 7 people again in the rooms on each side of the building.
The next day, four desperate people ran away to swim on the river and did not spend the night in the building. The remaining 16 guys were accommodated so that in the evening the counselor again counted 7 people in the rooms on each side of the building.
How were the guys accommodated in the rooms when there were 24 and 16 people so that the counselor did not suspect anything?
24 people could be accommodated in rooms as shown in the figure on the left, and 16 - as shown in the figure on the right.
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The original problem can be viewed in the book "Ancient entertaining problems" by S. N. Olekhnik, Yu. V. Nesterenko, M. K. Potapov.
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