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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.
It is particularly useful when dealing with equations involving fractions or rational functions in mathematical Olympiads, especially when you see fractions of the following form:
\begin{array}{c}&\frac{ a}{b}, &\frac{a+b}{a-b}, &\frac{ a + kb } { a - k b }.\end{array}ba,a−ba+b,a−kba+kb.
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marcoso63n
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it is proved that if the ratio of a to b is equal to the ratio of c to d, then the ratio of a + b to a − b is equal to the ratio of c + d to c − d. This property is called the componendo and dividendo rule. Hence, we have: 2(y – x)/(y – x) = 2. Hence the correct option here is D) 2.
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punkinh3ck
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