[ $[$ Divisibility of numbers. General properties $]$

Vovochka had more nuts than Pavlik. If Vovochka had given Pavlik as many nuts as Pavlik had, both boys would have had an equal number of nuts. But instead, Vovochka gave Pavlik a few nuts (no more than five), and divided the rest equally among three squirrels. How many nuts did Vovochka give to Pavlik?

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Initially, Volodya had 3 times more nuts than Pavlik.

## Solution

From the condition, it follows that Volodya had 3 times more nuts than Pavlik. After giving some nuts to Pavlik, the number of his nuts remained a multiple of 3—otherwise, he wouldn't have been able to divide them among three squirrels. The only number that is a multiple of 3 and less than 5 is 3. Therefore, Volodya gave Pavlik 3 nuts.

## Answer

[ Measurement of segment lengths and angles. Adjacent angles.]
Problem