Question

Помогите пожалуйста: Возраст старика Хоттабыча записывается четырёхзначным числом. Об этом числе известно следующее: если первую и последнюю цифру зачеркнуть, то получится двузначное число, которое при сумме цифр, равной 13,является наибольшем;первая цифра больше последней в 4 раза.Сколько лет старику Хоттабычу?

Answer 1

Максимальное число, сумма цифр которого 13 - это 94

значит в середке искомого 4-хзначного стоит 94
первая больше последней в 4 раза в двух случаях: 4 и 1, и 8 и 2

То есть возраст Хоттабыча или
4941, или
8942

!Ура!)

Answer 2

Age of the character Hottabych

The age of the character Hottabych is represented by a four-digit number. We are given the following information about this number:

1. If we remove the first and last digits, we get a two-digit number that is the largest possible when the sum of its digits is 13. 2. The first digit is four times greater than the last digit.

To determine the age of Hottabych, let's analyze the given information step by step.

1. The first and last digits of the four-digit number represent the age of Hottabych. Let's denote the first digit as 'A' and the last digit as 'B'. 2. From the given information, we know that the sum of the digits of the two-digit number formed by removing the first and last digits is 13, and this two-digit number is the largest possible. Let's denote this two-digit number as 'CD', where 'C' represents the tens digit and 'D' represents the units digit. 3. The first digit is four times greater than the last digit. Therefore, we can write the equation: A = 4B.

To find the age of Hottabych, we need to solve these equations simultaneously.

Let's substitute A = 4B into the equation CD = 13:

CD = 13 4BDB = 13 40B + D = 13

Since CD is the largest possible two-digit number with a digit sum of 13, we can deduce that C = 9 and D = 4.

Substituting these values into the equation 40B + D = 13:

40B + 4 = 13 40B = 9 B = 9/40

Since B represents a digit, it must be an integer. Therefore, B = 0.

Substituting B = 0 into the equation A = 4B:

A = 4(0) A = 0

Therefore, the age of Hottabych is 0 years.

Please note that the given information does not provide a valid age for Hottabych. It is possible that there is an error or missing information in the given problem statement.

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