Question

Мальчик предложил другу задумать число прибавить к нему 2 полученную сумму умножить на 3 отнять от полученного произведения исходное число умноженное на 2 отнять 6 попросил узнать получившие число. друг назвал. мальчик сказал что это число он и задумал обьясните

Answer 1

Х=задуманное число. Тогда (Х+2)*3-x*2-6=x.

Answer 2

Solution Explanation

To solve the problem, we can follow the steps provided by the boy. Let's break down the process step by step:

1. The boy's number: Let's call the number the boy thought of as x.

2. Add 2 to the number: The first step is to add 2 to the boy's number, which gives us x + 2.

3. Multiply the sum by 3: The next step is to multiply the sum by 3, resulting in 3(x + 2).

4. Subtract the original number: Then, we subtract the original number from the previous result, giving us 3(x + 2) - x.

5. Multiply the original number by 2: After that, we multiply the original number by 2, resulting in 2x.

6. Subtract 6 from the product: Finally, we subtract 6 from the previous result, giving us 2x - 6.

So, the expression for the final number the boy obtained is: (3(x + 2) - x) - (2x - 6).

Solving the Expression

Let's simplify the expression step by step:

1. Expand the expression: - 3(x + 2) - x becomes 3x + 6 - x. - 2x - 6 remains the same.

2. Combine like terms: - 3x - x simplifies to 2x. - So, the expression becomes 2x + 6 - 2x + 6.

3. Simplify further: - 2x - 2x cancels out, leaving us with 12.

So, the final number the boy obtained is 12.

Conclusion

Therefore, the number the boy obtained after performing the given operations is 12.