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Пошаговое объяснение:
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Пошаговое объяснение:
авсд-число
а+в+с+д=а*в*с*д
понятно, что нулей нет, потому что справа будет ноль,а слева ноль быть не может.
максимально возможное а+в+с+д=9+8+7+6=30
максимально возможное а*в*с*д=1*2*3*4=24 (если 2*3*4*5, то это 120 уже точно больше 30).
Значит ищем число из цифр 1,2,3,4
Просто внимательно присмотревшись на признак делимости на 4 получаем концовку числа
12, 32
Рассмотрим с концовкой 12
а+в+1+2=а*в*1*2
а+в+3=2ав
2ав-а=в+3
а(2в-1)=в+3
а=(в+3)/(2в-1)
в а
1 4
2 1 2/3
3 1,2
4 1
варианты: 1412 и 4112
1+4+1+2=1*4*1*2
8=8
Рассмотрим с концовкой 32
а+в+3+2=а*в*3*2
а+в+5=6ав
6ав-а=в+5
а(6в-1)=в+5
а=(в+5)/(6в-1)
в а
1 1,2
2 7/13
3 8/17
4 9/23
Вариантов нет.
ответ:1412 и 4112