Question

4. Розв'яжи задачу. Хлопчик задумав число, збільшив його в дев'ять разів, потім відняв найбільше трицифрове просте число, записав протилежне до нього та в результаті отримав 8 012. Яке число задумав хлопчик? СРОЧНО А ТО МЕНЯ МАТЕМАТИЧКА СОЖРЕТ

Answer 1

Ответ:1001 2/9

Пошаговое объяснение:

Answer 2

To solve this problem, let's break it down step by step:

1. The boy thought of a number. 2. He increased it by nine times. 3. Then, he subtracted the largest three-digit prime number. 4. He wrote down the opposite of the result. 5. Finally, he obtained the number 8,012.

Let's find the solution:

Step 1: The boy thought of a number

Let's represent the unknown number as x.

Step 2: He increased it by nine times

The boy multiplied the number by 9, so we have 9x.

Step 3: He subtracted the largest three-digit prime number

The largest three-digit prime number is 997. So, we subtract 997 from 9x: 9x - 997.

Step 4: He wrote down the opposite of the result

The opposite of a number is its negation. So, we write down -(9x - 997) as -9x + 997.

Step 5: He obtained the number 8,012

According to the problem, the result is 8,012. So, we have the equation -9x + 997 = 8,012.

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

-9x + 997 = 8,012

Let's solve it:

-9x = 8,012 - 997 -9x = 7,015 x = 7,015 / -9 x ≈ -779.44

Therefore, the number the boy thought of is approximately -779.44.

Please note that the solution is an approximation because the problem does not specify whether the number should be an integer or allow for decimals.