Question

448. Антон попросил Катрин задумать число, отнять от него 2, результат умножить на 2, прибавить 10 и полученную сумму разделить на 2. Катрин сказала, что у нее получи- лось 32, а Антон назвал задуманное число. Какое число задумала Катрин? Как Антон определил его?

Answer 1

Ответ:

29

Пошаговое объяснение:

Выполнил действия в обратном порядке:

(32 * 2 - 10) : 2 + 2 = 29

Answer 2

Problem Analysis

Anton asked Katrin to think of a number, subtract 2 from it, multiply the result by 2, add 10 to the obtained product, and then divide the sum by 2. Katrin said that she got 32 as the result, and Anton named the number Katrin had in mind. We need to determine the number Katrin thought of and how Anton determined it.

Solution

Let's break down the problem step by step to find the solution.

1. Katrin thought of a number. 2. She subtracted 2 from it. 3. She multiplied the result by 2. 4. She added 10 to the obtained product. 5. She divided the sum by 2. 6. The final result was 32.

To find the number Katrin thought of, we need to reverse the steps.

1. We start with the final result, which is 32. 2. We multiply it by 2 to undo the division by 2 in step 5. This gives us 64. 3. We subtract 10 to undo the addition of 10 in step 4. This gives us 54. 4. We divide it by 2 to undo the multiplication by 2 in step 3. This gives us 27. 5. We add 2 to undo the subtraction of 2 in step 2. This gives us the final answer: 29.

Therefore, the number Katrin thought of is 29.

To determine how Anton found the number, we can see that Anton simply named the number that Katrin had in mind. Anton did not need to perform any calculations to determine the number.

In conclusion, Katrin thought of the number 29, and Anton determined it by simply naming the number.