Question

Толя задумал число, увеличил его в 4 раза, затем умень- шил в 6 раз, затем увеличил на 46, затем уменьшил в 9 раз и получил 6. Какое число задумал Толя? Ответ: 14 гооооо Roma

Answer 1

$\Huge \tt{6 \cdot9 = 54} \\ \Huge \tt{ 54 - 46 = 8 } \\ \Huge \tt {8 \cdot 6 = 48} \\ \Huge \tt{48 : 4 = \boxed{12}}$

Ответ: Толя задумал число $\Huge \tt{12}$.

Answer 2

Ответ:

12

Пошаговое объяснение:

6*9=54

54-46=8

8*6=48

48:4=12

Answer 3

Problem Analysis

Tolya started with a number, multiplied it by 4, then divided it by 6, added 46, and finally divided it by 9 to get a result of 6. We need to find the original number that Tolya had in mind.

Solution

Let's break down the problem step by step and solve it.

1. Tolya multiplied the number by 4. 2. Tolya divided the number by 6. 3. Tolya added 46 to the number. 4. Tolya divided the number by 9. 5. The result is 6.

Let's represent the unknown number as 'x' and solve the equation step by step.

1. Tolya multiplied the number by 4: 4x. 2. Tolya divided the number by 6: (4x) / 6. 3. Tolya added 46 to the number: (4x / 6) + 46. 4. Tolya divided the number by 9: ((4x / 6) + 46) / 9. 5. The result is 6: ((4x / 6) + 46) / 9 = 6.

To find the value of 'x', we can solve the equation:

((4x / 6) + 46) / 9 = 6.

Let's solve the equation step by step:

1. Multiply both sides of the equation by 9 to eliminate the denominator: 9 * ((4x / 6) + 46) / 9 = 6 * 9. 2. Simplify: (4x / 6) + 46 = 54. 3. Subtract 46 from both sides of the equation: (4x / 6) = 54 - 46. 4. Simplify: (4x / 6) = 8. 5. Multiply both sides of the equation by 6 to eliminate the denominator: 6 * (4x / 6) = 8 * 6. 6. Simplify: 4x = 48. 7. Divide both sides of the equation by 4 to solve for 'x': (4x) / 4 = 48 / 4. 8. Simplify: x = 12.

Therefore, the number Tolya had in mind is 12.

Answer

The number Tolya had in mind is 12.