Question

Возраст Старика хоттабыча записывается числом с разными цифрами . Если первую и последнюю цифры зачеркнуть, то получится двузначное число, которое при сумме цифр , равной 13, является наибольшим. Кроме того, первая цифра меньше посоедней в 4 раза. Сколько лет старику хоттабычу?

Answer 1

Хоттабычу 8942 года - при условии, что все цифры должны быть разными.

Answer 2

Age of Staryk Khotabych

To determine the age of Staryk Khotabych, we need to analyze the given information:

1. The first and last digits of his age, when crossed out, form a two-digit number. 2. The sum of the digits of this two-digit number is 13, which is the highest possible sum. 3. The first digit is four times smaller than the last digit.

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

Step 1: Crossed Out Digits

The first and last digits of Staryk Khotabych's age, when crossed out, form a two-digit number. However, the exact digits are not provided in the question. We need to find the possible combinations of two-digit numbers that satisfy this condition.

Step 2: Sum of Digits

The sum of the digits of the two-digit number is 13, which is the highest possible sum. We need to find the two-digit number that has a digit sum of 13.

Step 3: First Digit is Four Times Smaller

The first digit of Staryk Khotabych's age is four times smaller than the last digit. This means that the first digit is one-fourth of the last digit.

Now, let's find the possible combinations of two-digit numbers that satisfy these conditions.

Possible Combinations

Based on the given information, we can find the possible combinations of two-digit numbers that satisfy the conditions:

- 94: The first digit is 9, and the last digit is 4. The sum of the digits is 13, and the first digit is one-fourth of the last digit. - 85: The first digit is 8, and the last digit is 5. The sum of the digits is 13, and the first digit is one-fourth of the last digit.

Therefore, there are two possible combinations: 94 and 85.

Conclusion

Based on the given information, Staryk Khotabych's age can be either 94 or 85.