If $a : b = c : d = e : f$ , then the value of each ratio is $(a + c + e) : (b + d + f)$
This property is called as

Componendo property

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Convertendo property

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Addendo property

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Dividendo property

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Solution

The correct option is C Addendo property
$\frac{a}{b} = \frac{c}{d} = \frac{e}{f} = k$
$a = b k, c = d k, e = f k \Rightarrow \frac{a + c + e}{b + d + f} = \frac{b k + d k + f k}{b + d + f} = k \Rightarrow a : b = c : d = e : f = (a + c + e) : (b + d + f)$
addendo property

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