Question

Испугались три толстяка,что похудели,бросились к весам.встали втроем на весы-все в порядке,750кг.встали на весы первый толстяк и второй толстяк-450кг.второй и третий толстяки-550кг.найди вес каждого толстяка.

Answer 1

1) 750-450=300 кг весит третий толстяк
2) 550-300=250 кг весит второй толстяк
3) 450-250=200 кг весит первый толстяк

Answer 2

Problem Analysis

Three overweight individuals stood on a scale together and their combined weight was 750 kg. When the first and second individuals stood on the scale, their combined weight was 450 kg. When the second and third individuals stood on the scale, their combined weight was 550 kg. We need to find the weight of each individual.

Solution

Let's assume the weights of the first, second, and third individuals are x, y, and z, respectively.

From the given information, we can form the following equations:

Equation 1: x + y + z = 750 (the combined weight of all three individuals)

Equation 2: x + y = 450 (the combined weight of the first and second individuals)

Equation 3: y + z = 550 (the combined weight of the second and third individuals)

To solve this system of equations, we can use substitution or elimination method. Let's use the elimination method:

Subtracting Equation 2 from Equation 1, we get:

(x + y + z) - (x + y) = 750 - 450

Simplifying, we have:

z = 300

Subtracting Equation 3 from Equation 1, we get:

(x + y + z) - (y + z) = 750 - 550

Simplifying, we have:

x = 200

Now, we can substitute the values of x and z into Equation 2 to find the value of y:

200 + y = 450

Simplifying, we have:

y = 250

Therefore, the weights of the three individuals are:

- The first individual weighs 200 kg. - The second individual weighs 250 kg. - The third individual weighs 300 kg.

Answer

The weights of the three overweight individuals are as follows: - The first individual weighs 200 kg. - The second individual weighs 250 kg. - The third individual weighs 300 kg.