Предмет: Математика, автор: Z2u2laSalutlshu

Мистер Фокс загадал натуральное число. Лёша возвел число Фокса в квадрат, а Боря возвел число Фокса в куб. Мистер Форд посчитал суммарное число цифр у чисел, которые получили Лёша и Боря. Какой результат мог получить Форд? Отметьте все возможные варианты.

Ответы

Автор ответа: mefody66

При такой постановке задачи число цифр может быть каким угодно, от 2 и больше.
Например, Фокс загадал 1.
И Леша и Боря получили 1. Количество цифр 2.
А если Фокс загадал 238, то Леша получил 5-значное число, а Боря 8-значное. Количество цифр 13.
Другое дело, если известно, что Фокс загадал однозначное число. Тогда минимум по-прежнему 2, а максимум 5: 9^2=81; 9^3=729.

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