Question

Два товарища имеют 675 рублей. если один из них отдаст 100 рублей то у него останется в 1,5 раза меньше денег,чем станет у другого. сколько денег у каждого?

Answer 1

Нужно решить систему
Х+у=675
(У+100)/(х-100)=1,5
Ответ:305 и 370 рублей

Answer 2

Problem Statement

Два товарища имеют 675 рублей. Если один из них отдаст 100 рублей, то у него останется в 1,5 раза меньше денег, чем станет у другого. Сколько денег у каждого?

Solution

Let's assume that the amount of money the first person has is x rubles, and the amount of money the second person has is y rubles.

According to the problem statement, we know the following information: - The sum of money both persons have is 675 rubles: x + y = 675. - If one person gives away 100 rubles, they will have 1.5 times less money than the other person. This can be expressed as: (x - 100) = 1.5 * (y - 100).

We can solve this system of equations to find the values of x and y.

Solving the System of Equations

Let's start by simplifying the second equation: (x - 100) = 1.5 * (y - 100)

Expanding the equation: x - 100 = 1.5y - 150

Rearranging the equation: x - 1.5y = -50 (Equation 1)

Now, we can solve the system of equations by substituting Equation 1 into Equation 2.

Substituting x = 675 - y into Equation 1: (675 - y) - 1.5y = -50

Simplifying the equation: 675 - 2.5y = -50

Rearranging the equation: 2.5y = 675 + 50 2.5y = 725

Dividing both sides by 2.5: y = 290

Now, we can substitute the value of y back into Equation 1 to find the value of x: x - 1.5 * 290 = -50

Simplifying the equation: x - 435 = -50

Rearranging the equation: x = 435 - 50 x = 385

Therefore, the first person has 385 rubles, and the second person has 290 rubles.

Answer

Итак, у первого товарища 385 рублей, а у второго товарища 290 рублей.