1 ответ
admin Админ. ответил 7 лет назад В левом верхнем углу и в правом нижнем находится одно и то же, так как в сумме с правым верхним получается одинаково 8, то есть А = D.
Назовём тогда это «одно и то же» — х.
Если учесть левое нижнее (назовём его у), то получится система:
у + х = 13 или A + C = 13
у — х = 6 или C — D = 6, или С — A = 6
Выразим из верхнего у: у = 6 + х и подставим в нижнее.
Получим: 6 + х + х = 13
2х = 7
х = 3,5
Тогда y = 6 + 3,5, то есть y = 9,5
Теперь перейдем к первоначальным обозначениям и получим:
А = D = 3,5; С = 9,5. Найдем В.
А + В = 8, так как А = 3,5, то
3,5 + В = 8, откуда С = 4,5
Ответ: А = 3,5; В = 4,5; С = 9,5, D = 3,5.
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