Question

what's componendo dividendo?




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Answer 1

Answer:

Componendo and dividendo is a theorem on proportions that allows for a quick way to perform calculations and reduce the amount of expansions needed.

Answer 2

Step-by-step explanation:

Componendo-Dividendo or componendo and dividendo is a rule that we use to compare and study ratios and proportions. In the following section, we will state this rule and also see some examples that will help us use this method to solve the questions from this section.Componendo and dividendo is a theorem on proportions that allows for a quick way to perform calculations and reduce the number of expansions needed. It is particularly useful when dealing with equations involving fractions or rational functions in mathematical Olympiads, especially when you see fractions.

Hence, if the ratio of any two numbers is equal to the ratio of another two numbers, then the ratios of the sum of numerator and denominator to the difference of numerator and denominator of both rational numbers are equal. First, let us start by defining some important terms. 

Example 1: Cost is directly proportional to the number of articles. (More Articles, More Cost)

Example 2: Work done is directly proportional to the number of men work (More Men, More Work).

Two quantities are said to be indirectly proportional if on the increase of the one, the other decreases to the same extent and vice-versa.

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