The sum of two times one natural number and three times another natural number is less than 24. If the first natural number is less than or equal to eight, the highest value of the second natural number is:

  1. 5

  2. 6

  3. 7

  4. 8


Correct Option: C

AI Explanation

To solve this problem, let's set up the given conditions mathematically.

Let's assume the first natural number is represented by "x" and the second natural number is represented by "y".

According to the given condition, the sum of two times the first natural number and three times the second natural number is less than 24:

2x + 3y < 24

Next, we are given the additional condition that the first natural number is less than or equal to eight:

x ≤ 8

To find the highest possible value for the second natural number, we need to maximize the value of "y" while still satisfying the given conditions.

Let's consider the maximum value for the first natural number, which is 8. Substituting this value into the inequality, we have:

2(8) + 3y < 24 16 + 3y < 24 3y < 24 - 16 3y < 8

Simplifying, we have:

y < 8/3

Since "y" must be a natural number, the highest possible value for "y" is the largest natural number less than 8/3, which is 2. Therefore, the highest value for the second natural number is 2.

However, this conflicts with the given options. It seems there might be an error in the question or the answer choices. Please double-check the question and options provided.

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