There lived an astronomer who was very much involved in his observations.
He often used to look up at the sky at night and start observing the stars.
Once, as he walked looking up at the stars, his leg slipped and he fell into a ditch. He started shouting.
A passer-by, who heard his shouts, helped him out of the ditch and asked, "How did you fall into this ditch?" The astronomer replied, “I was so engrossed in my observations that I did not notice the ditch".
The passer-by asked, "How do you expect to discover things when you fail to take note of things under your nose?" The astronomer walked away with a sad face.
There lived an astronomer who was very much involved in his observations.
He often used to look up at the sky at night and start observing the stars.
Once, as he walked looking up at the stars, his leg slipped and he fell into a ditch. He started shouting.
A passer-by, who heard his shouts, helped him out of the ditch and asked, "How did you fall into this ditch?" The astronomer replied, “I was so engrossed in my observations that I did not notice the ditch".
The passer-by asked, "How do you expect to discover things when you fail to take note of things under your nose?" The astronomer walked away with a sad face.
Пошаговое объяснение:
думаю правильно
Пусть Ф - сумма монет у Фомы.
Е - сумма монет у Ерёмы;
Ю - сумма монет у Юлия.
х - сумма монет Фома должен отдать Ерёме, чтобы у них было поровну.
Ф - х = Е + х
Если Фома отдаст Ерёме 70 монет, то у Ерёмы и Юлия будет поровну:
70 + Е = Ю
Если Фома отдаст Ерёме 40 монет, то у Фомы и Юлия будет поровну:
Ф - 40 = Ю
{ Ф - х = Е + х
{ 70 + Е = Ю
{ Ф - 40 = Ю
Получили систему из трех уравнений с 4-мя неизвестными:
{ Ф - 2х = Е (1)
{ 70 + Е = Ю (2)
{ Ф - 40 = Ю (3)
Сложим первые два уравнения:
Ф - 2х + 70 + Е = Е + Ю
Ф - 2х + 70 = Ю
Вычтем проученное уравнение из 3-го уравнение с третьим :
Ф - 40 - (Ф - 2х + 70) = Ю - Ю
Ф - 40 - Ф + 2х - 70 = 0
2х - 110 = 0
2х = 110
х = 110 : 2
х = 55 монет Фома должен отдать Ерёме, чтобы у них было поровну.
ответ: 55 монет.
Проверка:
{ Ф - 55 = Е + 55
{ 70 + Е = Ю
{ Ф - 40 = Ю
{ Ф = Е + 110
{ Е = Ю - 70 подставим в первое уравнение.
{ Ф = Ю + 40 подставим в первое уравнение.
Ю + 40 = Ю - 70 + 110
40 + 70 = 110
110 = 110
Пошаговое объяснение: