Question

Петя говорит Васе: "Я легче тебя в три раза".А Вася говорит Пете: "Я тяжелее тебя на 30 килограммов".Оба они говорят правду. Сколько весит Петя?

Answer 1

Ответ смотри во вложении!!!:-)

Answer 2

Problem Analysis

In this problem, we are given a conversation between two individuals, Petya and Vasya. Petya claims that he is three times lighter than Vasya, while Vasya claims that he is 30 kilograms heavier than Petya. We need to determine Petya's weight based on this information.

Solution

Let's assume Petya's weight is represented by the variable `p` and Vasya's weight is represented by the variable `v`.

According to Petya's claim, he is three times lighter than Vasya. This can be expressed as:

p = (1/3) * v (Equation 1)

According to Vasya's claim, he is 30 kilograms heavier than Petya. This can be expressed as:

v = p + 30 (Equation 2)

To find Petya's weight, we can substitute Equation 2 into Equation 1:

p = (1/3) * (p + 30)

Simplifying this equation will give us the value of `p`.

Calculation

Let's solve the equation to find Petya's weight:

p = (1/3) * (p + 30)

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

3p = p + 30

Subtracting `p` from both sides of the equation:

2p = 30

Dividing both sides of the equation by 2:

p = 15

Therefore, Petya weighs 15 kilograms.

Answer

Based on the given information, Petya weighs 15 kilograms.