У Петрика було більше ніж 30, але менше ніж 50 камінчиків. Коли він розклав камі...

July 2022 1 22 Report

У Петрика було більше ніж 30, але менше ніж 50 камінчиків. Коли він розклав камінчики
в купки по 5 штук, то 1 камінчик залишився, а коли він розклав їх укупки по 3 штуки, то за-
лишилося 2 камінчики. Яка кількість камінчиків була в Петрика?
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Answers & Comments

genius20

Нехай камінчиків було $n$ штук. За умовою $30$ .

Перша умова: $n$ при діленні на 5 має дати остачу 1. Це можуть бути числа 31, 36, 41, 46.

Друга умова: $n$ при діленні на 3 має дати остачу 2. Це можуть бути числа 32, 35, 38, 41, 43, 45, 47, 49.

Єдине число, що задовольняє обидві умови, — це 41.

Відповідь: 41 камінчик.

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