Question

Найди два числа по значению их суммы и разности. Заполни таблицу. Значение суммы 369 Значение разности 153. Помогите пожалуйста! Заранее спасибо. Даю 20. Первый правильный ответ- лучший!

Answer 1

Х - первое число, у - второе число.
$\left \{ {{x+y=369,} \atop {x-y=153;}} \right. \left \{ {{y=369-x,} \atop {2x=522;}} \right. \left \{ {{y=108,} \atop {x=261;}} \right.$
261 и 108.

Answer 2

Finding Two Numbers Given Their Sum and Difference

To find two numbers given their sum and difference, we can set up a system of equations and solve for the unknown numbers. Let's denote the two numbers as x and y.

Given that the sum of the two numbers is 369 and the difference is 153, we can set up the following equations:

Equation 1: x + y = 369 Equation 2: x - y = 153

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

Adding Equation 1 and Equation 2, we get: (x + y) + (x - y) = 369 + 153 Simplifying the equation, we have: 2x = 522

Dividing both sides of the equation by 2, we find: x = 261

Substituting the value of x into Equation 1, we can solve for y: 261 + y = 369 Simplifying the equation, we have: y = 369 - 261 y = 108

Therefore, the two numbers are 261 and 108.

Table:

| Sum | Difference | |-----|------------| | 369 | 153 |

The numbers that satisfy these conditions are 261 and 108.

I hope this helps! Let me know if you have any further questions.