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Question no. 56585

The ratio of two natural numbers whose combined total equals 72 cannot possibly be:

Select your answer for: The ratio of two natural numbers whose combined total equals 72 cannot possibly be:
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Answer: D. 3:4

Explanation

The sum of the individual parts of a given ratio must divide evenly into the total number seventy two. For option D, the ratio three to four has a part sum of seven units. Seventy two is not evenly divisible by seven, making this particular ratio mathematically impossible for these natural numbers. Ratio parts represent proportional shares of a total quantity divided among multiple discrete categories. Divisibility rules determine whether an integer can be divided evenly by another without leaving a remainder. Natural numbers are positive integers starting from one upward, excluding zero, fractions, and negative values.

One to two has a part sum of three, which divides seventy two evenly into twenty four parts. Three to five has a part sum of eight, which divides seventy two evenly into nine equal parts. One to three has a part sum of four, which divides seventy two evenly into eighteen equal parts.

Subject
Mathematics
Category
Mathematics
Topic
—
Difficulty
medium

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