Question

в 1976 году в РФ выпускались автомобили Жигули 2103,Москвич-412,Волга -24.Масса автомобиля Жигули на 10 кг меньше массы Москвича,а а масса автомобиля Волга на 370 кг больше массы Жигулей.Определите массу каждого автомобиля,если масса трех автомобилей этих марок составляет 3470 кг.

Answer 1

Х - жигули
х+10 - москвич
х+370 - волга
х+х+10+х+370=3470
3х=3470-10-370
3х=3090
х=3090/3
х=1030кг - жигули
1030+10=1040кг - москвич
1030+370=1400кг - волга

Answer 2

Calculation of the Mass of Each Car

To determine the mass of each car, we can set up a system of equations based on the given information. Let's denote the mass of the Lada Zhiguli 2103 as x, the mass of the Moskvich-412 as y, and the mass of the Volga-24 as z.

From the given information, we know the following:

1. The mass of the Zhiguli is 10 kg less than the mass of the Moskvich: x = y - 10. 2. The mass of the Volga is 370 kg more than the mass of the Zhiguli: z = x + 370. 3. The sum of the masses of the three cars is 3470 kg: x + y + z = 3470.

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

Substituting the value of x from equation 1 into equation 3, we get:

(y - 10) + y + (y - 10 + 370) = 3470.

Simplifying the equation, we have:

3y + 350 = 3470.

Subtracting 350 from both sides, we get:

3y = 3120.

Dividing both sides by 3, we find:

y = 1040.

Substituting the value of y into equation 1, we can find the value of x:

x = 1040 - 10 = 1030.

Finally, substituting the value of x into equation 2, we can find the value of z:

z = 1030 + 370 = 1400.

Therefore, the mass of the Lada Zhiguli 2103 is 1030 kg, the mass of the Moskvich-412 is 1040 kg, and the mass of the Volga-24 is 1400 kg.