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Консультация № 170558
18.07.2009, 18:45
0.00 руб.
0
2
2
Сколько лет маме, если общий возраст папы, мамы и сына составляет 70 лет. На данный момент отец в 6 раз старше сына, а вот когда отец станет в 2 раза старше сына, тогда общий возраст всех окажется вдвое большим, чем теперь.
Обсуждение
18.07.2009, 19:57
общий
это ответ
Здравствуйте, Elinn.
Для решения задачи следует совместно решить уравнения
p + m + s = 70, (1)
p = 6s, (2)
(p + t) + (m + t) + (s + t) = 140, (3)
p + t = 2(s + t), (4)
где p, m, s – текущие возрасты папы, мамы и сына, p + t, m + t, s + t – возрасты папы, мамы и сына через t лет.
Из уравнений (1) и (2) получаем
7s + m = 70, (5)
а из уравнений (2) и (4) -
6s + t = 2s + 2t, t = 4s,
что после подстановки в уравнение (3) дает
19s + m = 140. (6)
Решая совместно уравнения (5) и (6), находим
7s = 70 – m, s = 10 – m/7, 190 – 12m/7 = 140, 12m/7 = 50, m ≈ 29,17.
Ответ: возраст мамы 29,17 года.
С уважением.
Для решения задачи следует совместно решить уравнения
p + m + s = 70, (1)
p = 6s, (2)
(p + t) + (m + t) + (s + t) = 140, (3)
p + t = 2(s + t), (4)
где p, m, s – текущие возрасты папы, мамы и сына, p + t, m + t, s + t – возрасты папы, мамы и сына через t лет.
Из уравнений (1) и (2) получаем
7s + m = 70, (5)
а из уравнений (2) и (4) -
6s + t = 2s + 2t, t = 4s,
что после подстановки в уравнение (3) дает
19s + m = 140. (6)
Решая совместно уравнения (5) и (6), находим
7s = 70 – m, s = 10 – m/7, 190 – 12m/7 = 140, 12m/7 = 50, m ≈ 29,17.
Ответ: возраст мамы 29,17 года.
С уважением.
5
все правильно, только можно написать 29 лет и 2 месяца
Об авторе:
Facta loquuntur.
Facta loquuntur.
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