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Mathematics

If a, b, c and d are proportional, then a+bab\dfrac{a + b}{a - b} is equal to:

  1. cd\dfrac{c}{d}

  2. cdc+d\dfrac{c-d}{c+d}

  3. dc\dfrac{d}{c}

  4. c+dcd\dfrac{c+d}{c-d}

Ratio Proportion

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Answer

Given,

a, b, c and d are proportional.

∴ a : b = c : d

ab=cd\Rightarrow \dfrac{a}{b} = \dfrac{c}{d}

Applying componendo and dividendo, we get :

a+bab=c+dcd\Rightarrow \dfrac{a + b}{a - b} = \dfrac{c + d}{c - d}

Hence, option 4 is the correct option.

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