Question

Кавалерия кутузова включает 3 полка общей численностью 18.000 человек второй полк был на 2.000 человек больше чем первый и на 2.000 человек меньше чем третий какова численность каждого полка?

Answer 1

1 полк= x
2 полк=x+2.000
3 полк=(x+2.000)+2.000
Всего=18.000
x+x+2.000+x+2.000+2.000=18.000
3x+6.000=18.000
3x=12.000
x=4.000 (1 полк)
2 полк=x+2.000=6.000
3 полк=(x+2.000)+2.000=8.000

Answer 2

Calculation of Cavalry Kutuzov's Regiment Strength

To calculate the strength of each regiment in the Cavalry Kutuzov, we have the following information:

- There are 3 regiments in total. - The total strength of all regiments combined is 18,000 soldiers. - The second regiment has 2,000 more soldiers than the first regiment. - The second regiment has 2,000 fewer soldiers than the third regiment.

Let's assign variables to represent the strength of each regiment:

- Let's call the strength of the first regiment "x." - The second regiment has 2,000 more soldiers, so its strength is "x + 2,000." - The third regiment has 2,000 fewer soldiers, so its strength is "x + 2,000 - 2,000," which simplifies to "x."

Now we can set up an equation to represent the total strength of all regiments combined:

x + (x + 2,000) + x = 18,000

Simplifying the equation:

3x + 2,000 = 18,000

Subtracting 2,000 from both sides:

3x = 16,000

Dividing both sides by 3:

x = 5,333.33

Since the number of soldiers must be a whole number, we can round down to the nearest whole number:

x = 5,333

Therefore, the strength of each regiment in the Cavalry Kutuzov is as follows:

- The first regiment: 5,333 soldiers. - The second regiment: 5,333 + 2,000 = 7,333 soldiers. - The third regiment: 5,333 soldiers.

Please note that the above calculation assumes an equal distribution of soldiers within each regiment.