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Консультация № 200175
28.01.2021, 18:12
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1
Здравствуйте! Прошу помощи в следующем вопросе:
Задание 1. Гермиона сказала Рону, что живет в 132 квартире, которая
находится в 4 подъезде, а этаж сказать забыла. Рон заметил, что дом
десятиэтажный. На каком этаже живет Гермиона, если на каждом этаже
одинаковое число квартир, а нумерация квартир начинается с единицы?
Задание 1. Гермиона сказала Рону, что живет в 132 квартире, которая
находится в 4 подъезде, а этаж сказать забыла. Рон заметил, что дом
десятиэтажный. На каком этаже живет Гермиона, если на каждом этаже
одинаковое число квартир, а нумерация квартир начинается с единицы?
Обсуждение
01.02.2021, 12:49
общий
это ответ
Здравствуйте, kuznetsova.79!
Обозначим число квартир на этаже n. Тогда в 3-х подъездах 3*10*n квартир. Количество квартир в четвертом подъезде с номером меньшими или равным номеру квартиры Гермионы равно 132 - 30*n. Ясно, что n <5. При n = 3 имеем 132 - 30*3 = 42, что больше, чем количество квартир в подъезде (3*10). Остается n = 4, 132 - 30*4 = 12 = 3*4, то есть квартира 132 находится на 3-ем этаже.
Обозначим число квартир на этаже n. Тогда в 3-х подъездах 3*10*n квартир. Количество квартир в четвертом подъезде с номером меньшими или равным номеру квартиры Гермионы равно 132 - 30*n. Ясно, что n <5. При n = 3 имеем 132 - 30*3 = 42, что больше, чем количество квартир в подъезде (3*10). Остается n = 4, 132 - 30*4 = 12 = 3*4, то есть квартира 132 находится на 3-ем этаже.
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