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Консультация № 198217
11.04.2020, 06:37
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Сумма квадратов цифр двузначного числа равна 61. Если от
этого двузначного числа отнять 9, то получится число, записанное
теми же цифрами, но в обратном порядке. Найти это число
Сумма квадратов цифр двузначного числа равна 61. Если от
этого двузначного числа отнять 9, то получится число, записанное
теми же цифрами, но в обратном порядке. Найти это число
Обсуждение
11.04.2020, 13:53
общий
это ответ
Здравствуйте, master87!
Обозначим искомые цифры x и y;
Сумма квадратов цифр двузначного числа равна 61,
Если от этого двузначного числа отнять 9, то получится число, записанное теми же цифрами, но в обратном порядке:
Решаем систему уравнений:
Отрицательное значение не входит в область допустимых. Следовательно:
Проверка:
Обозначим искомые цифры x и y;
Сумма квадратов цифр двузначного числа равна 61,
Если от этого двузначного числа отнять 9, то получится число, записанное теми же цифрами, но в обратном порядке:
Решаем систему уравнений:
Отрицательное значение не входит в область допустимых. Следовательно:
Проверка:
5
Об авторе:
Понеже не словес красных бог слушает, но дел наших хощет
Понеже не словес красных бог слушает, но дел наших хощет
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