Question

Когда отцу было 37 лет, то сыну было 3 года, а сейчас сыну в 3 раза меньше лет, чем отцу. Сколько лет сейчас отцу?

Answer 1

Сдесь ошибка а так 1)37-3:3=27(ост.7)

Answer 2

Пусть с момента времени, когда отцу было 37 лет, прошло х  лет. 
Тогда 37 + х  = 3( х + 3)
37+х = 3х +9
37-9 = 3х-х
28 = 2х
х= 14
14+3 = 17 лет сыну
17*3 = 51 лет отцу  
Или так.
Разность возрастов отца и сына равна 37 – 3 = 34 годам.
Сейчас отцу втрое больше лет, чем сыну.
Поэтому 34 года — это удвоенный возраст сына.
34 : 2 = 17 и т.д.

Answer 3

Problem Analysis

We are given the following information: - When the father was 37 years old, the son was 3 years old. - Currently, the son is 3 times younger than the father.

We need to determine the current age of the father.

Solution

Let's assume the current age of the father is F and the current age of the son is S.

From the given information, we can form two equations:

1. When the father was 37 years old, the son was 3 years old: - F - 37 = S - 3

2. Currently, the son is 3 times younger than the father: - S = (1/3)F

We can solve these equations to find the values of F and S.

Solving the Equations

Substituting the value of S from equation 2 into equation 1, we get:

F - 37 = (1/3)F - 3

Multiplying both sides of the equation by 3 to eliminate the fraction:

3F - 111 = F - 9

Simplifying the equation:

2F = 102

Dividing both sides of the equation by 2:

F = 51

Answer

Therefore, the current age of the father is 51 years.

Verification

Let's verify our answer using the given information.

When the father was 37 years old, the son was 3 years old. This satisfies the condition.

Currently, the son is 3 times younger than the father. If we calculate (1/3) of the father's age, we get (1/3) * 51 = 17, which is the current age of the son. This also satisfies the condition.

Therefore, our answer of the father's current age being 51 years is correct.