Question

Помогите задача Антон вчетверо старше Игоря сумма их возростов 45 лет когда Антон будет в двое старше Игоря через сколько лет

Answer 1

Пусть х лет Игорю, тогда 4х лет Антону, зная что сумма их возрастов равна 45 лет,составим уравнение
х+4х=45
5х=45
х=45/5
х=9 лет Игорю
9*4=36 лет Антону
Примем за х годы, которые должны пройти для получения необходимого равенства
2(9+х)=36+х
18+2х=36+х
2х-х=36-18
х=18 лет пройдет
9+18=27 лет будет Игорю
36+18=54 года будет Антону

Answer 2

Problem Analysis

To solve this problem, we need to find the number of years it will take for Anton to be twice as old as Igor. We are given that Anton is four times older than Igor and their ages sum up to 45 years.

Solution

Let's assume Igor's age is x years. According to the problem, Anton's age is four times Igor's age, so Anton's age is 4x years.

We are also given that the sum of their ages is 45 years. Therefore, we can write the equation:

x + 4x = 45

Simplifying the equation:

5x = 45

Dividing both sides by 5:

x = 9

So, Igor's age is 9 years.

To find out how many years it will take for Anton to be twice as old as Igor, we need to find the difference between Anton's age and Igor's age and divide it by 2.

Anton's age is 4x = 4 * 9 = 36 years.

The difference between Anton's age and Igor's age is 36 - 9 = 27 years.

To find out how many years it will take for Anton to be twice as old as Igor, we divide the difference by 2:

27 / 2 = 13.5

Therefore, it will take approximately 13.5 years for Anton to be twice as old as Igor.

Answer

It will take approximately 13.5 years for Anton to be twice as old as Igor.