Question

Когда Пиноккио врет,его нос вырастает на 3 см,а когда говорит правду-укорачивается на 2 см.За час длина его носа менялась 16 раз и в итоге увеличилась на 18 см.Сколько раз соврал Пиноккио?

Answer 1

Ответ:

Пиноккио соврал 12 раз

Answer 2

Calculating the Number of Lies by Pinocchio

To calculate the number of times Pinocchio lied, we can use the given information about the changes in the length of his nose.

1. Change in Nose Length: - When Pinocchio lies, his nose grows by 3 cm. - When he tells the truth, his nose shortens by 2 cm. - Over the course of an hour, the length of his nose changed 16 times, ultimately increasing by 18 cm.

2. Calculating the Number of Lies: - Let's assume that x represents the number of times Pinocchio lied. - The total change in length due to lying can be represented as 3x (3 cm growth per lie). - The total change in length due to telling the truth can be represented as -2(16-x) (-2 cm shortening per truth).

3. Equation for Total Change in Length: - We can set up an equation to represent the total change in length: - 3x - 2(16-x) = 18

4. Solving for x: - By solving the equation, we can find the value of x, which represents the number of times Pinocchio lied.

   3x - 32 + 2x = 18
   5x - 32 = 18
   5x = 50
   x = 10
   

Conclusion:

Pinocchio lied 10 times over the course of an hour to cause his nose to increase by 18 cm.