Предмет: Математика, автор: 191974

Старинная задача: Один господин встретил во время прогулки знакомую семью, состоящую из деда, отца и сына. Поздоровавшись со всеми, он спросил их в шутку, сколько им лет. Нам всем вместе 100 лет, - ответил за всех дед и важно зашагал вперед. Тогда господин, продолжая интересоваться их возрастом, спросил отца: Ну скажите же, сколько вам лет? - Мне вместе с сыном 45 лет, - отвечал отец. - А сын на 25 лет моложе меня. Так любопытному господину и не пришлось узнать, сколько лет каждому из них. Не сообразите ли вы?
Запишите решение задачи по действиям с пояснениями.

Ответы

Автор ответа: TigerYa
4
Дано: Дед+отец+сын=100лет
Отец+сын=45лет
Сын моложе отца на 25лет
Лет деду=?
Лет отцу=?
Лет сыну=?
По условию сразу видно сколько кому лет,
Вычитаем из всех (дед+отец+сын) - (отца+сына) остается=дед;

1)) 100-45=55лет деду;

Отец+сын=45, но отец+25лет старше, вычитаем их и остальное пополам надо,

2) (45-25):2= 20:2=10лет это сыну

Теперь к 10 вернём 25лет отца;

3)) 10+25=35лет отцу

Проверка 55+10+35=100лет вместе всем

Ответ: деду 55лет, отцу 35лет, сыну 10 лет.

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