Question

Сумма чётного числа с утроенным последующим чётным числом меньше 32. Найдите наибольшее чётное число, удовлетворяющее этому условию. (Надо решить с помощью неравенства) (Заранее спасибо)

Answer 1

N первое число
n+2 второе
n+3(n+2)<32
n+3n+6<32
4n<26
n<6.5
наибольшее четное число, удовлетворяющее условию это число 6
n=6

Answer 2

Problem Analysis

We are given that the sum of an even number and its subsequent tripled even number is less than 32. We need to find the largest even number that satisfies this condition.

Solution

Let's assume the even number is represented by the variable x. The subsequent even number can be represented as x + 2. According to the given condition, the sum of these two numbers should be less than 32:

x + (x + 2) * 3 < 32

Simplifying the inequality:

x + 3x + 6 < 32

4x + 6 < 32

4x < 26

x < 6.5

Since we are looking for the largest even number, we need to find the largest even number less than 6.5. The largest even number less than 6.5 is 6.

Therefore, the largest even number that satisfies the given condition is 6.

Answer

The largest even number that satisfies the condition is 6.