Question

Коля задумал некоторое число. Умножил его на 17, изменил последнюю цифру, разделил на 13, умножил на 4, откинул последнюю цифру и получил 6. Какое число задумал Коля?

Answer 1

Ответ:

12

Пошаговое объяснение:

12×17=204

204 изменил на 208 и разделил на 13

получилось 16

16×4=64

4 убрали, получается 6

Answer 2

Problem Analysis

Kolya has performed a series of mathematical operations on an unknown number and arrived at a result of 6. We need to determine the original number that Kolya had in mind.

Solution

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

1. Kolya multiplied the unknown number by 17. 2. He then changed the last digit of the result. 3. Next, he divided the modified number by 13. 4. After that, he multiplied the quotient by 4. 5. Finally, he removed the last digit of the result and obtained 6.

Let's represent the unknown number as 'x' and go through each step to solve for 'x'.

Step 1: Kolya multiplied the unknown number by 17. Result after Step 1: 17x

Step 2: Kolya changed the last digit of the result. Let's assume the last digit of 17x is 'y'. Modified number after Step 2: 17x - y

Step 3: Kolya divided the modified number by 13. Result after Step 3: (17x - y) / 13

Step 4: Kolya multiplied the quotient by 4. Result after Step 4: 4 * (17x - y) / 13

Step 5: Kolya removed the last digit of the result and obtained 6. Let's assume the last digit of 4 * (17x - y) / 13 is 'z'. Equation after Step 5: (4 * (17x - y) / 13) - z = 6

Now, we need to solve this equation to find the value of 'x'.

Let's simplify the equation:

(4 * (17x - y) / 13) - z = 6 (4 * (17x - y)) / 13 - z = 6 (68x - 4y) / 13 - z = 6 68x - 4y - 13z = 78

We have one equation with two unknowns ('x' and 'y'). Therefore, we need another equation to solve for both variables.

Unfortunately, the given information does not provide any additional equations or constraints. Without additional information, it is not possible to determine the exact values of 'x' and 'y'.

Hence, we cannot determine the specific number that Kolya had in mind without more information.

Note: The given search results do not provide any relevant information to solve this specific problem.