Question

Сумма неизвестного числа и числа 65 равна частному чисел 600 и 6. Частное числа 84 и неизвестного числа равно частному чисел 72 и 12 . Помогите пожалуиста составить уровнение

Answer 1

Первый.
х+65=600:6
х+65=100
х=100-65
х=35
Второй
84:х=72:12
84:х=6
х=84:6
х=14

Answer 2

Х+65=600:6
х+65=100
х=100-65
х=35

84:х=72:12
84:х=6
х=84:6
х=14

Answer 3

Problem Analysis

Let's break down the problem step by step:

1. The sum of an unknown number and 65 is equal to the quotient of 600 divided by 6. 2. The quotient of 84 divided by the unknown number is equal to the quotient of 72 divided by 12.

We need to find the unknown number and write the equation that represents these conditions.

Solution

Let's assume the unknown number is represented by the variable x.

1. The sum of the unknown number and 65 is equal to the quotient of 600 divided by 6. We can write this as:

x + 65 = 600 / 6

2. The quotient of 84 divided by the unknown number is equal to the quotient of 72 divided by 12. We can write this as:

84 / x = 72 / 12

Now we have two equations:

x + 65 = 600 / 6

84 / x = 72 / 12

Let's solve these equations to find the value of x.

Solving the Equations

1. Equation: x + 65 = 600 / 6

To simplify the right side of the equation, we can divide 600 by 6:

x + 65 = 100

Subtracting 65 from both sides of the equation:

x = 100 - 65

x = 35

Therefore, the value of x is 35.

2. Equation: 84 / x = 72 / 12

To simplify the equation, we can cross-multiply:

84 * 12 = 72 * x

1008 = 72x

Dividing both sides of the equation by 72:

x = 1008 / 72

x = 14

Therefore, the value of x is 14.

Conclusion

Based on the given conditions, we have found that the unknown number x is equal to both 35 and 14.