Question

«У Васи и Пети вместе 60 рублей. Если Вася отдаст Пете 5 рублей, у него останется в 2 раза больше денег, чем их станет у Пети. Сколько рублей у Васи?»

Answer 1

Всего у Пети денег, если Вася даст ему 5 рублей - Х, а у Васи останется 2Х.
Х+2Х=60
3Х=60
Х=20 рублей у Пети, включая 5 рублей которые дал Вася
20-5=15 рублей - у Пети
(2 * 20) + 5 = 45 рублей - у Васи
Ответ: 45

Answer 2

Problem Analysis

We are given the information that Vasiliy and Petya have a total of 60 rubles. If Vasiliy gives Petya 5 rubles, he will have twice as much money left as Petya. We need to determine how much money Vasiliy has.

Solution

Let's assume that Vasiliy initially has x rubles. According to the given information, Petya will have 60 - x rubles.

If Vasiliy gives Petya 5 rubles, he will have x - 5 rubles left, and Petya will have 60 - x + 5 = 65 - x rubles.

According to the problem statement, Vasiliy will have twice as much money left as Petya. Therefore, we can set up the equation:

x - 5 = 2(65 - x)

Now we can solve this equation to find the value of x.

Calculation

Expanding the equation:

x - 5 = 130 - 2x

Combining like terms:

3x = 135

Dividing both sides by 3:

x = 45

Answer

Therefore, Vasiliy initially has 45 rubles.

Explanation

According to the given information, Vasiliy and Petya have a total of 60 rubles. If Vasiliy gives Petya 5 rubles, he will have 2 times as much money left as Petya. By solving the equation, we find that Vasiliy initially has 45 rubles.