Question

Некто задумал число, прибавил к нему 5 ,затем разделил сумму на 3 ,к полученному частному прибавил 5 и получил задуманное число. Какое число он задумал?

Answer 1

Задуманное число -10

Answer 2

Problem Analysis

To solve this problem, we need to find the number that was initially thought of. The process involves adding 5 to the number, dividing the sum by 3, adding 5 to the quotient, and obtaining the original number. Let's denote the original number as x.

Solution

1. The person thought of a number, added 5 to it, and then divided the sum by 3. 2. They then added 5 to the quotient and obtained the original number.

Let's represent the steps in equations: 1. Step 1: (x + 5) / 3 2. Step 2: ((x + 5) / 3) + 5 = x

Now, we can solve for x.

Solving for x

1. (x + 5) / 3 + 5 = x 2. Multiply both sides by 3 to clear the fraction: x + 5 + 15 = 3x 3. Combine like terms: 20 + x = 3x 4. Subtract x from both sides: 20 = 2x 5. Divide by 2: x = 10

So, the number they initially thought of is 10.