Question

У Володи и Миши всего 62рубля. У Володи и Петра — 65 рублей, а у Миши и Петра — вместе 53 рубля. Найдите сумму денег у Володи.

Answer 1

Я тебе эту задачку уже решил! У Володи 37 рублей!

 

Володя +Миша = 62р

Володя +Петр = 65р

Миша+Петр = 53р

Володя+Миша +(Володя+Петр) = 127р Раскроем скобки и получим:

2Володя + Миша + Петр = 127р но Миша+Петр= 53р значит 2Володя = 127-53 =74

74:2 = 37р

У Володи 37рублей

Answer 2

Calculating the Sum of Money for Each Person

To find the sum of money for each person, we can use a system of equations based on the given information.

Let's denote the amount of money for Volodya as V, for Misha as M, and for Petia as P.

We have the following information: 1. V + M = 62 (Equation 1) 2. V + P = 65 (Equation 2) 3. M + P = 53 (Equation 3)

Solving the System of Equations

We can solve this system of equations to find the values of V, M, and P.

Subtracting Equation 2 from Equation 1, we get: M - P = -3 (Equation 4)

Adding Equation 2 and Equation 3, we get: V + 2M + 2P = 118 (Equation 5)

Adding Equation 1, Equation 2, and Equation 3, we get: 2V + 2M + 2P = 180 (Equation 6)

Subtracting Equation 5 from Equation 6, we get: 2V = 62 (Equation 7)

Calculating the Sum of Money for Volodya

From Equation 7, we can solve for V: V = 31

So, the sum of money for Volodya is 31 rubles.